CHAPTER – TIME & WORK
Important Questions for SLC
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1. Ram can do a work in 9 days and Shyam can do it in 12
days. In how many days, both together,
can do the work?
2. A and B can do a work in 30 days and 40 days
respectively. In how many days can A and B working
together do it?
3. A and B can do a work in 12 days, which A alone can do in
30 days, In how many days B alone can
do it ?
4. A and B can do a piece of work in 12 days. B alone can do
it in 30 days. Both started the work
together but B leaves after 5 days. In how many days is the
whole work completed?
5. Mohan and Sohan can do a piece of work in 12 days. Mohan
alone can do it in 18 days. Both
started the work together, but Mohan left the work after 6
days. How long will Sohan work alone to
finish the remaining work?
6. A and B can finish a piece of work in 12 and 18 days
respectively. After some days when both start
to work together A leaves and B completes the remaining work
in6 days. How many days has A
worked together before he left?
7. A, B and C working together can do a piece of work in 18
days. A could do it alone in 72 days.
After working together for 6 days. A is fallen ill. How long
will B and C together take to finish the
remaining work?
8. A, B, and C can finish a piece of work in 30, 40 and 60
days respectively 10 days after they started
to work together B leaves. 4 days after B left, A leaves and
C completes the remaining work. Find
how many days C had worked altogether.
9. A and B can do a piece of work in 45 and 30 days
respectively. They work at it together for some
days then A leaves 5 days before completion the work. How
many days would they work together?
10. A can do a piece of work in 20 days, B can do it in 30
days and C in 40 days. Three of them started
the work together. A left the work after 5 days and C left
it in 10 days before its completion. Find in
how many days the work might have been finished.
11.A, B and C can do a piece of work in 15 days, 20 days and
30 days respectively. Three of them
started the work together but A left after 5 days and B left
2 days before its completion. Find in how
many days the work might have been finished.
12. A can do a piece of work in 10 days, B can do it in 20
days and C in 30 days Three of them started
the work together. A left the work after 4 days and C left
it some days before its completion. If the
work is completed in 9days, for how many days did C work?
13.X, Y and Z can finish a piece of work in 20, 30 and 40
days respectively. If x left the work after
working for 5 days, in how many days can Y and Z together
complete the remaining work?
14.If 12 labours can do a piece of work in 15 days working 8
hours a day, how many days will 10
labours take to finish half of it working 9 hours a day?
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15. 20 men can do a piece of work in 24 days. After working
for few days, 4 men are added and the
work was finished 3 days earlier. After how many days were 4
men added?
16.A piece of work was to be completed in 40 days. Then 10
more men were employed and they
finished of work in 20 days, then 10 more men added and work
was completed in time, find the
number of men employed the first.
17. 20 men can finish a piece of work in 30 days. When
should 5 men leave the work, so that if may be
finished 35 days?
18. 40 men can do a piece of work in 24 days. After working
for a few days 8 men are added and the
whole work as completed 3 days earlier. After how many days
were those 8 men added?
19. 6 labours can finish a work in 120 days working 7 hours
daily. If the work is to be finished in 105
days by working 6 hours daily, how labours will be required?
20. A contractor undertakes to dig a canal 12 km. long in
350 days and employs 45 men. He finds that
after 200 days of working only 4 kilometers of canal have
been completed. How many extra men
must be employed to finish the work in time?
21.A certain number of men can complete a piece of work in
90 days. If, however, there are 15 men
less, it will take 10 days more for the work to complete.
How many men were there originally?
22. 12 men are engaged to do a piece of work in 15 days.
After working for 6 days they found that only
of the work is done. How many men should be added to finish
the work in time?
23.200 labours need 50 days to construct a road of 4 km.
long working 8 hours a day. How many
labours should be decreased to construct the same road in 80
days working 10 hours a day?
24. 55 men can finish a piece of work in 42 days. How many
additional men must be added to complete
the work 9 work 9 days earlier?
25. 16 men are engaged to do a piece of work in 20 days.
After 8 days it is found that only of the work is
done. How many additional men should be taken to complete
the work in time.
26. A men undertakes to do a certain job in 32 days. He
hires 12 men for the job At the end of 8 days,
only one fifth of the work was completed. How many extra men
must be employed in order to
complete the work in time?
27.A contractor had to finish a work in 30 days and he
employed some men to do the work. They
finished half of the work in 20 days. When 60 more men were
added the work was finished on the
specified time. How many men were employed in the beginning?
28. A piece of work was to be completed in 30 days. A number
of men employed upon it did only half
the work in 18 days. 12 more men were added and the work was
completed in the specified time.
How many men were employed at first?
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29.A contractor had to finish a work in 60 days and he
employed 60 laboures to do the work. They
finished half of the work in 40 days. How many more
labourers should be added to finish the work in
specified time?
30. 20 men can do a piece of work in 24 days. After working
for 6 days, an additional number of men
are taken to finish the work in 21 days from the beginning.
Find the number of additional men.
31.A piece of work has to be completed in 30 days. A number
of men employed in it and did only
half of the work in 20 days. 20 more men were added and work was completed in the
specific
time. How many men
were employed first?
32. A piece of work had to be completed in 60 days. A number
of men employed upon it and they did
only of the work in 40 days. 20 more men were added and the
work was completed in the specified
days. How many men were employed at first?
33. A contractor undertook to do a work in 40 days and
employed a certain number of men upon it who
did only half of the work in 24 days. So, 16 more men added
to do the work in time. How many men
were employed initially?
34.A work was to be finished in 16 days and for this 30
persons started together But only work
in
finished after 10 days. Find the number of additional men
should betaken to do the work in given
time.
35. 20 men can do a work in 30 days; after how long time
should 5 men leave so that the work may be
completed in 35 days?
36. 4 men can do a work in 5 days. But due to Nepal-Band, no
work is done on the third day. How many
extra men should be added to complete the work in the fixed
schedule?
37. A piece of work was to be completed in 30 days, A number
of man employed on it, did only half of
the work in 20 days, Again 20 more men were added and the
work was completed in specified time.
How many were employed at first?
38. If 10 pumps draw 430 liters of water is 10 minutes, how
many liters will be drawn by 6 pumps in 20
minutes?
39. A tap can fill a cistern in 10 minutes while other can
empty in 15 minutes. The cistern being empty
and if both the taps are opened together, in how many
minutes will the cistern be full?
40. Two taps A and B fill a tank in 8 hours and 10 hours
respectively when they are opened separately.
If both the taps are opened at the same time, how long will
it take to fill the tank?
41.Three taps can fill a cistern in 36 minutes, 30 minutes
and 20 minutes respectively. The cistern
being empty all the three taps are kept open and after 6
minutes the first tap is closed. In how many
more minutes will the cistern be full?
42.Two pipes A and B can fill a tank in 24 min and 32 min.
respectively. If both pipes are opened
simultaneously, after how much time B should be closed so
that the tank is full in 18 minutes?
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43. A and B can fill a casern in 20 min. and 25 min.
respectively. Both the pipes are kept open for 5 min.
and then the second pipe is turned off. In how many minutes
more is the tank completely filled?
44. A and B can fill a tank in 2 hrs. and 4 hrs
respectively. Both were opened at once but after sometime
the first was shut up and the tank was filled in 2 hrs more.
When did the first pipe A shut up?
45. Two pipes A and B can fill a tank in 36 min. and 45 min.
respectively. A waste pipe C cans empty
the tank in 30 min. First A and B are opened. After 7 min, C
is also opened. In how much time, the
tank is full?
46.A cistern has a leak which would empty it in 8 hours. A
tap is turned on which admits 6 liters a
minute into the cistern and it is now emptied in 12 hours.
How many liters does the cistern hold?
47. A and B can fill a cistern in 60 min, and 75 min.
respectively. If all the pipes (including a waste -pipe
C) are opened together, the cistern is full in 50 minutes.
Find the time required for C to empty the
full cistern.
48. Surav takes one day to do a work; Gaurav takes two days
to do the same work. IF Gaurav takes 24
days to do 2/5 of the work, in how many days will both
together finish the whole work?
49. Ram can do twice as much work as Shyam. If they together
can complete a work in 24 days. In how
many days will each take to complete the work?
50. A takes twice as much time as B and thrice as much time
as C to finish a piece of work. If they work
together they can finish the work in 4 days. Find the time
each will take to finish the work?
51. A alone can do a certain work in the same time in which
B and C together can do it. If A and B could
together do it in 10 days and C alone in 50 days, in what
time can B alone do it?
52. A is thrice as good a workman as B and is therefore able
to finish a piece of work in 60 days less
than B. Find the time in which they can do it working
together.
53. A can do as much work in 2 days as B can do in 3 days
and B can do as much work in 4 days as
C in 5 days. It takes 20 takes 20 days to complete the work
if all of them work together. How long
would B take to do all the work by himself?
54. A takes twice as much time as B and thrice as much time
as C to finish a piece of work. If they work
together they can finish the whole work in 5 days. Find the
time each will take to finish the work
separately.
55.Promod and Ramchandra can do a pieces can do a piece of
work in 30 and 20 days respectively
After they work together for some days, Ramchandra left. If
promod completes the remaining
worked in 15 days how long had Ramchandra worked together.
56. A can do a work in 30 days and B in 40 days. They start
working together but after 8 days B leaves.
In how many days A can finish the remaining work?
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57.Mohan and Sohan together can finish a piece of work in 30
days. After they worked for 20 days.
Sohan left. If Mohan can finish the remaining work in 35
days, How long Sohan alone can finish the
whole work?
58. Ram and Shyam can do a piece of work in 20 days and 25
days respectively. They work to together
of 5 days and Shyam left the work. In how many days will Ram
finish the remaining work?
59. A and B can do a piece of work in 24 days. A takes 40
days to complete the same work. After they
work for 8 days, A leaves, If B completes the remaining
work, in how many days was the whole
work completed?
60. A can do a piece of work in 14 days. B can do the same
work in 21 days. After they work for 7 days,
A leaves. If B completes the remaining work; in how many
days was the whole work completed?
61. Ram and Shyam together can finish a piece of work in 8
days. Ram alone can finish the work in 12
days. If he leaves after working for 4 days alone. In how
many days will Shyam finish the remaining
work alone?
62. A can do a piece of work in 18 days and B in 24 days.
They both worked together and after some
days A left. If B finished the remaining work in 3 days, how
long did A work together?
63. A can do a piece of work in 36 days and B in 54 days.
They both worked together and after some
days B left. If A finished the remaining work in 11 days,
how long did B work together?
64.C and D can finish a piece of work in 20 days. After they
work for 12 days D left. If C alone can
finish teh remaining work in 40 days, how long would D alone
take to do whole work?
65. A and B can finish a piece of work in 40 days. After
they worked for 25 days. B left. If A can finish
the remaining work in 45 days. How long B alone can finish
the whole work?
66. A and B can do a work in 12 days, B and C in 15 days C
and A in 20 days. In how many days will
they finish it together?
67.A can do a work in 20 days and B in 12 days. B worked for
9 days and left. In what time will A
complete the remaining work?
68. A and B can do a work in 24 and 16 days respectively.
With the help of C, they can finish it in 8days,
Find in what time will A and C together do it?
69. Aviral and Abhiyan can do a work in 25 and 20 days
respectively. Aviral started the work and was
joined by Abhiyan after 10 days. How long was the work last
for?
70. 12 men can dig a field in 8 days. Three days after they
started to work together, 3 extra men joined
them, Find the time taken by all of them to complete the
remaining work.
71. A and B can together do a piece of work in 30 days. They
worked for it for 20 days and then B left.
The remaining work was done by A alone in 20 more days. Find
the time required for A to do the
whole work alone.
72. A and B can do a work in 45 and 40 days respectively.
They started the work together, but A leaves
after some days and B finished the remaining work in 23
days. After how long time did A leave?
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73. A and B can do a work in 20 and 30 days respectively.
They start to work together but A leaves 5
days before the completion. In how many days to do the whole
work?
74. A and B can do a work in 72 days. If A works alone for
the last 20 days, it is completed in 80 days.
How many days will be required for B to do the whole work
alone?
75. To do a work A would take twice as long as B and C
together. B takes 3 times as along as C and A
together. All of them together can do it in 12 days. Find in
what time A, B and C alone can do it?
76. A can do as much work in 2 days as B in 3 days and B can
do as much work in 4 days as C in 5
days. If all of them can do a work in 20 days, how long
would each take to do the work separately?
77. While A does of a
work. B does and while B does, C does
.In how many hours will C finish a work
which can be finished by A in 20 hours?
78. A, B and C can do a work in 20, 30 and 40 days
respectively. All of them worked together but A left
after 5 days and C left in 10 days before its completion. In
how many days required doing the whole
work?
79. A, B and C can do work in 10, 20 and 30 days, A left. C
left it some days before completion. If total
time taken for the whole work is days. For how many days did
C work?
80.A, B and C can do a work 50, 70 and 90 days respectively.
Only A started the work and B joined
after 10 days, C joined after 5 days from this and all of
them continued till it was over. In how many
total days taken for the whole work.
81. A, B and C can do a work in 60, 80 and 100 days
respectively. A and B started the work. After 10
days A left but C joined. After 20 days from the join of C,
B left but A rejoined. In how many total
days to do the whole work?
82. A, B and C together can do a work in 6 days, which B
alone can do in 16 days and B and C together
in 10 days In how many days can A and B together do it?
83.A and B can do a work in 10 days, B and C in 15 days, A
and C in 25 days. They all work at it
together for 4 days, A then leaves and B and C go on
together for 5 days more and then B leaves,
how many more days will C complete the work?
84. A can do work in 20 days, A and B together in days. A works alone for 8 days, A and C
together for
6 days, and B finishes it in 3 days. Find in what time B and
C together could do it?
85. A can do a work in 8 days, which B can destroy in 3
days, A has worked 6 days, during the last 2 of
which B has been destroyed. How many days must A now work
alone in order to complete his task?
86. A and B can do a work in 8 days and 7 days respectively.
They work alternately for a day. If A starts
the work, find in how many total days completed to do work?
87. 25 men are employed to do a work which they could finish
it in 20 days but there is a drop off by 5
men at the end of every 10 days. In what time will the work
be completed?
88. A cistern would be filled by a tap A in 3 hours, or
emptied by a tap B in 3 hours. The cistern being
half full A is turned on at 8:00 Am and B at 8:45 Am Find
when the cistern will again be half full?
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89.A is twice and B is just as good a workman as C. The
three work together for two days, and then
A works alone for half a day and B for a day. How long would
it have taken A and C together to
complete as much as the three will have thus performed?
1. 5days
2. 17days
3. 20 days
4.
5. 18 days
6. 4days
7. 16 days
8. 17 days
9. 15 days
10. 17days
11. 9days l
12. 4days
13. 7days
14. 8 days
15. 6 days
16. 15 days
17. 15 days
18. 6 days
19. 8
20. 75
21. 150
22. 4
23. 100
24. 15
25. 16
26. 4
27. 60
28. 24
29. 60
30. 4
31. 20
32. 20
33. 32
34. 10
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35. 15 days
36. 2
37. 32
Answers
44. After 40 min.
45. 46 min
46. 2880 lit.
47. 100min.
48. 20 days
49. 36 days, 72 days
50. 24 days, 12 days, 8 days
51. 25 days
52. 22days
53. 66 days
54. 30 days, 15 days, 10 days
55. 6 days
56. 16 days
57. 42 days
58. 11 days
59. 48 days
60. 10days
61. 16 days
62. 9 days
63. 15 days
64. 25 days
65. 60 days
66. 10 days
67. 5 days
68. 16 days
69. 16days
70. 4 days
71. 60 days
72. After 9 days
73. 15 days
74. 180 days
75. 36 days, 48 days, 28days
76. 44 days, 66 days, 82days
77. 32 hours.
78. 17 days
79. 4days
86. 7 days
87. 23days
88. 1:15 pm
89. 3days
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