WORK & TIME
1. A and B can do a work in 12 days, B and C in 15
days and C and A in 20 days. If A, B and C work together. They will complete
the work in:
(1) 5 days
(2)7
days (3) 10 days (4) 15
days
2. If 6 men and 8 boys can do a piece of
work in 10 days and 26 men and 48 boys can do the same in 2 days. The time
taken by 15 men and 20 boys to do the same type of work will be:
(1) 5 days (2)4 days (3)6 days (4)7 days
3. A and B can do work in 18 and 24 days
respectively. They worked together for 8 days and then A left. The remaining
work was finished by B in:
(1) 5 days (2) 5
days (3)
8 days (4)10 days
4. A and B can do a piece of work in 72
days. B and C can do it in 120 days. A and C can do it in 90 days. In how many
days all the three together can do the work?
(1)80 days (2) 100 days (3)60 days (4)150 days
5.5 men can do a piece of work in 6 days
while 10 women can do it in 5 days. In how many days can 5 women and 3 men do
it?
(1) 4 (2)5 (3)6 (4)8
6. A can do a piece of work in 12 days
and B can do it in 18 days. They work together for 2 days and then A leaves.
How long will B take to finish the remaining work?
(1) 6 days (2) 8 days (3) 10 days (4)13 days
7. If 3 men or 6 women can do a piece of
work in 16 days, in how many days can 12 men and 8 women do the same piece of
work?
(1) 4 days (2) 5 days (3) 3 days (4) 2 days
8. A man, a woman and a boy can complete
a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1
woman to complete the job in
of
a day?
(1) 1 (2)4 (3)19 (4)41
9. A can do a work in 15 days and B in 20
days. If they together work on it for 4 days, then the fraction of the work
that is left is:
(1)
(2)
(3)
(4)
10. A particular job can be complete by a
team of 10 men in 12 days. The same job can be completed by a team of 10 women
in 6 days. How many days are needed to complete the job if the two teams work
together?
(1)4 (2)6 (3)9 (4)18.
11. A can do a work in 6 days and B in 9
days. How many days will both take together to complete the work?
(1) 7.5 (2)5.4 (3)3.6 (4)3
12. A certain number of men can complete
a job in 30 days. If there were 5 men more, it could be completed in 10 days
less. How many men were in the beginning?
(1) 10 (2)15 (3)20 (4)25
13. A and B can do a job in 6 and 12 days
respectively. They began the work together but A leaves after 3 days. Then the
total number of days needed for the completion of the work is:
(1) 4 (2)5 (3)6 (4)9
14. If 16 men or 20 women can do a piece
of work in 25 days. In what time will 28 men and 15 women do it?
(1)14
Days (2)
Days
(3) 18
Days (4)10
Days
15. If 5 men or 8 women can do a piece of
work in 12 days, how many days will be taken by 2 men and 4 women to do the
same work?
(1) 15 days (2)13
days
(3)13
days (4)10 days
16. A and B can do a piece of work in 10
days, B and C in 15 days and C and A in 20 days. C alone can do the work in:
(1) 60 days (2) 120 days (3) 80 days (4) 30 days
17. A can cultivate
th of a land in 6 days and B can cultivate
rd of the same land in 10 days. Working together A and
B can cultivate
th of the land in:
(1) 4 days (2) 5 days (3) 8 days (4) 10 days
18. A does half as much work as B in one
sixth of the time. If together they take 10 days to complete a work, how much
time shall B take to do it alone?
(1) 70 days (2) 30 days (3) 40 days (4) 50 days
19. A can do a piece of work in 4 hours;
B and C can do it in 3 hours. A and C can do it in 2 hours. How long will B
alone take to do it?
(1) 10 hours (2) 12 hours (3) 8 hours (4) 24 hours
20.A does
of
a piece of work in 20 days; He then calls in B and they finish the remaining
work in 3 days. How long B alone will take to do whole wok?
(1)37
days (2) 37 days (3) 40 days (4) 23 days
21.A can finish a work in 18 days and B
can do the same work in half the time taken by A. Then working together what
part of the same work they can finish in a day?
(1)
(2)
(3)
(4)
22.A and B can do a work in 12 days, B
and C in 8 days and C and A in 6 days. In how many days B alone can do this
work?
(1)
24 days (2)32days (3) 40 days (4)48 days
23. A does
part of work in 15 days. After that he completes
the remaining work in 4 days with the help of B. In how many days will A and B
together do the same work?
(1) 10
days (2)12
days
(3) 13
days (4)8
days
24. If the expenditure of gas on burning
6 burners for 6 hours a day for 8 days is Rs. 450, then how many burners can be
used for 10 days at 5 hours a day for Rs. 625?
(1)12 (2)16 (3)4 (4)8
25. A and B can do a piece of work in 30
days while B and C can do the same work in 24 days and C and A in 20 days. They
all work together for 10 days when B and C leave. How many days more will A
take to finish the work?
(1)18 days (2)24days (3)30
days (4)36 days
26. 39 people can repair a road in 12
days working 5 hours a day. In how many days will 30 persons working 6 hours a
day complete the work?
(1) 10 (2)13 (3)14 (4)15
27. A, B and C can complete a piece of
work in 24, 6 and 12 days respectively. Working together, they will complete
the same work in.
(1)
Days (2)
days (3)
days (4) 4 days
28. A and B can together finish a work in
30 days. They worked together for 20 days and then B left. After another 20
days, A finished the remaining work. In how many days A alone can finish the
job?
(1) 50 (2)60 (3)48
(4) 54
29. If 72 men can build a wall of 280 m
length in 21 days, how many men could take 18 days to build a similar type of
wall of length 100 m?
(1) 30 (2)10 (3) 18 (4)28
30. Babu and Asha can do a job together
in 7 days. Asha is 1
times as efficient as Babu. The same job can
be done by Asha alone in
(1)
days (2)
days (3) 11 days (4)
days
31. If 3 men or 4 women can plough a
field in 43 days, how long will 7 men and 5 women take to plough it?
(1) 10 days (2)11days (3) 9 days (4)12 days
32. 8 men can do a work in 12 days. After
6 days of work, 4 more men were engaged to finish the work. In how many days
would the remaining work be completed?
(1) 2 (2)3 (3)4 (4)5
33. A can finish a work in 24 days. B in
9 days and C in 12 days. B and C start the work but are forced to leave after 3
days. The remaining work was done by A in:
(1) 5 days (2)6days (3) 10 days (4) 10
days
34. A wall of 100 metres can be built by
7 men or 10 women in 10 days. How many days will 14 men and 20 women take to
build a wall of 600 metres?
(1) 15 (2) 20 (3)25 (4)30
35. A can do a piece of work in 60 days.
He works for 15 days and then B alone finishes the remaining work in 30 days.
The two together can finish the work in
(1) 24 days (2)25days (3) 30 days (4)32 days
36. A certain number of persons can
complete a piece of work in 55 days. If there were 6 persons more, the work
could be finished in 11 days less. How many persons were originally there?
(1)17 (2)24 (3) 30 (4)22
37. A can do a certain work in the same
time in which B and C together can do it. If A and B together could do it in 10
days and C alone in 50 days, then B alone could do the work in
(1) 15 days (2)20days (3) 25 days (4) 30 days
38. A and B working separately can do a
piece of work in 10 days and 15 days respectively. If they work on alternate
days beginning with A, in how many days will the work be completed?
(1) 18 days (2)13days (3) 12 days (4) 6 days
39. A can complete a work in 6 days while
B can complete the same work in 12 days. If they work together and complete it,
the portion of the work done by A is
(1)
(2)
(3)
(4)
40.A and B can do a piece of work in 28
and 35 days respectively. They began to work together but a leaves after
sometime and B completed remaining work in 17 days. After how many days did A
leave?
(1)14
days (2)9days (3) 8 days (4)7
days
41. A and B together can do piece of work
in 12 days, B and C together in 15 days and C and A together in 20 days. In how
many days can A, B and C together do it?
(1) 5 days (2)10days (3) 24 days (4) 30 days
42. A and B can complete a work in 15
days and 10 days respectively. They started doing the work together but after 2
days, B had to leave and A alone completed the remaining work. The whole work
was completed in:
(1) 10 days
(2)8days (3) 12 days (4) 15 days
43. A man can do a piece of work in 5 days, but
with the help of his son, he can do it in 3 days. In what time can the son do
it alone?
(1) 7 days (2)8days (3)7
days (4)6
days
44. 5 person can prepare an admission
list in 8 days working 7 hours a day. If 2 persons join them so as to complete
the work in 4 days, they need to work per day for:
(1) 10 hours (2)9hours (3)
12 hours (4) 8 hours
45.4 mat-weavers can weave 4 mats in 4
days. At the same rate how many mats would be woven by 8 mat-weavers in 8 days?
(1) 4 (2)8 (3)12 (4)16
46. A certain number of men can do a work
in 60 days. If there were eight more men, it could be complete in 10 days less.
How many men were there in the beginning?
(1)70 (2)55 (3)45 (4)40
47. 6 men or 12 women can do a piece of
work in 20 days. In how many days can 8 men and 16 women do twice as big as
this work?
(1) 2 (2) 5 (3) 15 (4)10
48. A and B can do a piece of work in 20
days and 12 days respectively. A started the work alone and then after 4 days B
joined him till the completion of the work. How long did the work last?
(1) 10 days (2)20days (3) 15 days (4) 6 days
49. 10 men working 6 hours a day can
complete a work in 18 days. How many hours a day must 15 men work to complete
the same work in 12 days?
(1) 6 (2)10 (3)12 (4)15
50. 12 persons can do a piece of work in
4 days. How many persons are required to complete 8 times the work in half the
time?
(1) 192 (2)190 (3)180 (4)144
51. A and B can do a work in 45 days and
40 days respectively. They began the work together but A left after some time
and B completed the remaining work in 23 days. After how many days of the start
of the work did A leave?
(1)10 days (2)9days (3)8 days (4) 5 days
52. A and B together can do a piece of
work in 10 days. A alone can do it in 30 days. The time in which B alone can do
it is
(1)10 days (2)12days (3) 15 days (4) 20 days
53.A and B together can complete a piece
of work in 72 days, B and C together can complete it in 120 days, and A and C
together in 90 days. In what time can A alone complete the work?
(1)80 days (2)100days (3) 120 days (4)150 days
54. A is three times more efficient
worker than B and is, therefore, able to complete a work in 60 days earlier.
The number of days, that A and b together will take to complete the work, is:
(1)22
(2) 25 (3) 22
(4) 30
55. A can do
of
a piece of work in 5 days, B can do
of
the same work in 9 days and C can do
of
that work in 8 days. In how many days can three of them together do the work?
(1) 3 (2)5 (3)
(4)4
56. A man and a boy can complete a work
together in 24 days. If for the last six days man alone does the work then it
is completed in 26 days. How long the boy will take to complete the work alone?
(1) 72 days (2)20days (3) 24 days (4) 36 days
57. A and B together can complete a work
in 8 days. B alone can complete that work in 12 days. B alone worked for four
days. After that how long will A alone take that how long will A alone take to
complete the work?
(1)15 days (2)18days (3) 16 days (4) 20 days
58. A and B together can do a work in 8
days, B and C together in 6 days while C and A together in 10 days, if they all
work together, the work will be completed in:
(1) 3
days (2) 3
(3) 5
(4) 4
59. A work could be completed in 100 days
by some workers. However, due to the absence of 10 workers, it was completed in
110 days. The original number of workers was:
(1) 100 (2) 110 (3) 55 (4)50
60.A and B can do a piece of work in 12
days, B and C in 8 days and C and A in 6 days. How long would B take to do the
same work alone?
(1) 24 days (2) 32 days (3)40 days (4) 48 days
61. A completes
of
a work in 15 days, then he completes the remaining work with the help of B in 4
days. The time required for A and B together to complete the entire work is:
(1) 10
days (2)12
days
(3)13
days (4)8
days
62. A does half much work as B in one
sixth of the time. If together they take 10 days to complete a work, how much
time shall B alone take to do it?
(1)70 days (2)30days (3) 40 days
(4) 50 days
63. A and B can complete a piece of work in
30 days, B and C in 20 days, and C and A in 15 days. If all of them work
together, the time taken in completing the work will be
(1)10 days (2) 12 days (3)12
days (4) 13
days
64. A job can be completed by 12 men in
12 days. How many extra days will be needed to complete the job if 6 men leave
after working for 6 days?
(1) 3 (2)6 (3) 12 (4) 24
65. A can do a piece of work in 4 hours,
B and C together in 3 hours, and A and C together in 3 hours, and A and C
together in 2 hours, how long will B alone take to do it?
(1) 10 hours (2)12hours (3)8 hours (4) 24 hours
66. A man, a woman and a boy can together
complete a piece of work in 3 days. If a man alone can do it in 6 days and a
boy alone in 18 days, how long will a woman alone take to complete the work?
(1) 9 days (2) 21 days (3) 24 days (4) 27 days
67. Kamal can do a work in 15 days. Bimal
is 50% more efficient than kamal. The number of days, Bimal will take to do the
same piece of work, is
(1) 14 (2)12 (3)10 (4)10
68. 3 men or 5 women can do a work in 12
days. How long will 6 men and 5 women take to finish the work?
(1) 20 (2)10 (3)4 (4)15
69. Two persons can complete a piece of
work in days. How many more persons are needed to complete double the work in
12 days?
(1)3 (2)2 (3)4 (4)1
70. A and B together can complete a piece
of work in 12 days. B and C in 20 days, and C and A in 15 days. A, B and C
together can complete it in
(1) 10
days
(2) 10 days (3) 9 days (4) 6 days
71. A and B together can complete a work
in 8 days and B and C together in 12 days. All of the three together can
complete the work in 6 days. In how much time will A and C together complete
the work?
(1) 8 days (2) 10 days (3) 12 days (4) 20 days
72. To complete a work, A takes 50% more
than B. if together they take 18 days to complete the work, how much time shall
B take to do it?
(1) 30 days (2) 35 days (3) 40 days (4) 45 days
73. A and B can complete a piece of work
in 12 and 18 days respectively. A begins to do the work and they work
alternatively one at a time for one day each. The whole work will be completed
in
(1)14
days
(2)15
days
(3)16
days (4)18
days
74. A and B together can complete a work in3
days. They start together but after 2 days, B left the work. If the work is
completed after two more days, B alone could do the work in
(1) 5 days (2) 6 days (3) 9 days (4) 10 days
75. 60 men could complete a work in 250
days. They worked together for 200 days. After that the work had to be stopped
for 10 days due to be stopped for 10 days due to bad weather. How many more men
should be engaged to complete the work in time?
(1) 10 (2) 15 (3) 18 (4) 20
76. A alone can complete a work in 12
days. A and B together can complete it in 8 days. How long will B alone take to
complete the work?
(1) 24 days (2)18days (3) 16 days (4) 20 days
77. A contractor undertook to complete a
project in 90 days and employed 60 men on it. After 60 days, he found that
of
the work has already been completed. How many men can he discharge so that the
project may be completed exactly on time?
(1)40 (2)20 (3)30 (4)15
78. If A and b together can complete a
work in 18 days, A and C together in 12 days, and B and C together in 9 days,
then B alone can do the work in
(1) 18 days (2) 24 days (3) 30 days (4) 40 days
79. A, B and C can complete a work in 10,
12 and 15 days respectively. They started the work together. But A left the
work before 5 days of its completion. B also left the work 2 days after A left.
In how many days was the work completed?
(1) 4 (2)5 (3) 7 (4)8
80. A can complete a piece of work in 10
days, B in 15 days and C in 20 days. A and C worked together for two days and
then A was replaced by B. In how many days, altogether, was the work completed?
(1)12 (2)10 (3)6 (4)8
81. If 10 men or 20 boys can make 260
mats in 20 days, then how many mats will be made by 8 men and 4 boys in 20
days?
(1) 260 (2)240 (3)280 (4)520
82. Working 5 hours a day, A can complete a work
in 8 days and working 6 hours a day, B can complete the same work in 10 days.
Working 8 hours a day, they can jointly complete the work in
(1) 3 days (2) 4 days (3) 4.5 days
(4)5.4 days
83. 40 men can complete a work in 40
days. They started the work together. But at the end of ach 10th
day, 5 men left the job. The work would have been completed in
(1) 56
days (2) 53
days
(3) 52 days (4) 50 days
84. If two persons with equal abilities,
can do two jobs in two days, then 100 persons with equal abilities can do 100
similar jobs in
(1) 100 days (2)
10 days (3) 5 days (4) 2 days
85. A can do a piece of work in 18 days
and B in 12 days. They began the work together, but B left the work 3 days
before its completion. In how many days, in all, was the work completed?
(1)12 (2)10 (3)9.6 (4)9
86. Ganga and Saraswati, working
separately can now a field in 8 and 12 hours respectively. If they work in
stretches of one hour alternately, Ganga beginning at 9 a.m., when will the
moving be completed?
(1) 6 p.m. (2) 6.30 p.m. (3)5 p.m.
(4)5.30 p.m.
87. If p men working p hours per day for
p days produce p units of work, then the units of work produced by n men
working n hours a day for n days is
(1)
(2)
(3)
(4)
88. A and B can separately complete a
piece of work in 20 days and 30 days respectively. They worked together for
some time, then B left the work. If A completed the rest of the work in 10
days, then B worked for
(1) 6 days (2)8 days (3) 12 days (4) 16 days
89. If 28 men complete
of
a piece of work in a week, then the number of men, who must be engaged to get
the remaining work completed in another week, is
(1)5 (2) 6 (3) 4 (4) 3
90. While working 7 hours a day, A alone
can complete a piece of work in 6 days and B alone in 8 days. In what time
would they complete it together, working 8 hours a day?
(1) 3 days (2) 4 days (3) 2.5 days (4) 3.6 days
91. If 10 men can do a piece of work in
12 days, the time take by 12 men to do the same piece of work will be
(1) 12 days (2) 10 days (3) 9 days (4) 8 days
92. A, B and C alone can complete a work
in 20 days. 30 days and 60 days respectively. A works alone, however on every
third day, he takes the help of B and C. In how many days will the work be completed?
(1) 10 (2)12 (3)15 (4)18
93. A and B alone can complete work in 9
days and 18 days respectively. They worked together; however 3 days before the
completion of the work A left. In how many days was the work completed?
(1) 13 (2) 8 (3) 6 (4)5
94. A is twice as good a workman as B and
B is twice as good a workman as C. If A and B can together finish a piece of
work in 4 days, then C can do it by himself in
(1) 6 days (2)8 days (3) 24 days (4) 12 days
95. A and B can do a piece of work in 10
days. B and C can do it in 12 days. C and A in 15 days. In how many days will C
finish it alone?
(1) 24 (2) 30 (3) 40 (4) 60
96. A road of 5 km length will be
constructed in 100 days. So 280 workers were employed. But after 80 days it was
found that only 3
km
road was completed. Now how many more people were needed to finish the work in
the specified time?
(1) 480 (2)80 (3)200 (4)100
97. If A and B together can complete a
piece of work in 15 days and B alone in 20 days, in how many days can A alone
complete the work?
(1) 60 (2)45 (3)40 (4)30
98. A can complete a piece of work in 18
days. B in 20 days and C in 30 days. B and C together start the work and are
forced to leave after 2 days. The time taken by A alone to complete the
remaining work is
(1) 10 days (2) 12 days (3)15 days (4) 16 days
99. A can complete
of
a work in 5 days and B,
of
the work in 10 days. In how many days both A and B together can complete the
work?
(1) 10 (2)9
(3)8
(4)7
100. 7 men can complete a piece of work
in 12 days. How many additional men will be required to complete double the
work in 8 days?
(1) 28 (2) 21 (3) 14 (4)7
ANSWER
1. (3)
2. (2)
3. (2)
4. (3)
5. (2)
6. (4)
7. (3)
8. (4)
9. (2)
10. (1)
11. (3)
12. (1)
13. (3)
14. (4)
15. (3)
16. (2)
17. (3)
18. (3)
19. (2)
20. (1)
21. (1)
22. (4)
23. (3)
24. (4)
25. (1)
26. (2)
27. (3)
28. (2)
29. (1)
30. (3)
31. (4)
32. (3)
33. (3)
34. (1)
35. (1)
36. (2)
37. (3)
38. (3)
39. (2)
40. (3)
41. (2)
42. (3)
43. (3)
44. (1)
45. (4)
46. (4)
47. (3)
48. (1)
49. (1)
50. (1)
51. (2)
52. (3)
53. (3)
54. (1)
55. (4)
56. (1)
57. (3)
58. (3)
59. (2)
60. (4)
61. (3)
62. (3)
63. (4)
64. (3)
65. (1)
66. (1)
67. (3)
68. (3)
69. (1)
70. (2)
71. (1)
72. (1)
73. (1)
74. (2)
75. (2)
76. (1)
77. (2)
78. (2)
79. (3)
80. (4)
81. (2)
82. (1)
83. (1)
84. (4)
85. (4)
86. (2)
87. (4)
88. (1)
89. (3)
90. (1)
91. (2)
92. (3)
93. (2)
94. (3)
95. (3)
96. (3)
97. (1)
98. (3)
99. (2)
100. (3)
