CHAPTERS: TIME AND 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?
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?
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?
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?
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?
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?
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?
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?
Answers
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
35. 15 days
36. 2
37. 32
38. 516 l.
39. 30 min.
40. 4hrs.
41. 4 min.
42. 8 min
43. 11 min.
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
80. 28 days
81. 39days
82. 7days
83. 76 days
84. 14days
85. 7days
86. 7 days
87. 23days
88. 1:15 pm
89. 3days
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