Tuesday, June 11, 2013

Problems on Time and work

To Download time and work questions in PDF (with solutions) :  click here
 
To view solutions of these questions

1. Solution of Problems (1 - 10) 

2. Solution of Problems (11-20)

3. Solution for Problems (21-29)

To Download time and work questions in PDF (with solutions) :  click here
 

1. 5 men can  prepare 10 toys in 6 days working 6 hours a day. then in how many days can 12 men prepare 16 toys working hrs a day ?
(a) 12                              (b) 3
(c)15                               (d)10

2. A can do a piece of work in 5 days, B can do it in 6 days. how long will they take if both work together?
(a) 22/11                         (b)44/11
(c)51/11                          (d)30/11

3. A can a piece of work in 5 days and B can do it in 6 days. if C who can do the work in 12 days joins them, how long will they take to complete work?
(a) 20/9                             (b)5/7
(c) 32/5                            (d)12/3

4. A and B together can do a piece of work in 6 days and A can do it in 9 days. in how many days can B alone do it ?
(a) 22                              (b)4
(c)18                              (d)24

5. If 3 men or 4 women can reap a field in 43 days,  how log will 7 men and 5 women take to reap it ?
(a) 20                               (b) 20
(c) 42                               (d) 12

6. If 12 men and 16 boys can of a piece of work in 5 days and 13 men and 24 boys can do in 4 days, how long will 7 men and 10 boys take to do it ?
(a) 17/2                          (b) 32/4
(c) 58/8                          (d) 25/3

7.A certain number of men can do a work in 60 days. if there were 8 man less it could be finished in 10 days more how many men there?
(a) 20                             (b)36
(c) 56                             (d) 32  

8. A is thrice as fast as B, and is therefore able to finish a work in 60 days less than  B. find the time in which they in which they can do it working together?
(a) 44.5                          (b)11.5
(c) 22.5                          (d)66.5

9. A can do a work in 6 days. B take 8 days to complete it. C  takes as long as A and B would take working together. how long will it take B and C. A and C, and A, B and C to complete the work together?
(a) 12/5,24/11,12/7                  (b)8/3,7,11/5
(c) 15/2,22/3,18/5                    (d)8/3,19/5,21/9

10. A is twice as good a workman as B, together, they finish the work in 14 days. in how many days can it be done by B separately ?
(a) 48                              (b) 32
(c) 42                              (d) 50

11. 5 men and 2 boys working together can do 4 time as much work per hour as a man and a boy together. Compare the work of a man with that of a boy ?
(a) 4/3                              (b) 5/3
(c) 7/3                             (d)2/1

12. A and B can do a work in 45 and 40 days respectively. They began the work together, but A left after some time and B finished the remaining work in 23 days. After how many did A leave ?
(a) 21                               (b)9
(c) 15                               (d)30

13. 1 man or 2 women or 3 boys can do a work in 44 days. Then in how many days will 1 man, 1 women and 1 boy do the work ?
(a) 24                                   (b)38
(c)61                                    (d)73

14. A group of men decided to do a work in 10 days, but  five of them become absent.If the rest of the group did the work in 12 days. Find the original number of men?
(a) 66                               (b)21
(c) 30                              (d)42

15. A certain number of men  can do a work in 60 days. If there were 8 men more it could be finished in10 days less.How many men are there?
(a) 24                               (b) 40
(c) 12                               (d) 9

16. A builder decided to build a farmhouse in 40 days. He employed 100 men in the beginning  and 100 more after 35 days and completed the construction in stipulated time .If he had not employed the additional men, how many days behind schedule would it have been finished?
(a) 60                              (b) 20
(c) 30                              (d) 45

17. A, B and C can do a work in 8, 16,24 days respectively. They all begin together. A continues to work till it finished, C leaving off 2 days and B one day before its completion. In what days is the work finished ?
(a) 23                                 (b)30
(c) 12                                (d)5

18. There is a sufficient food for 400 men for 31 days, after 28 days 280 men leave the place. For how many days will the rest of the food last for the rest of the men ?
(a) 20                                (b)25
(c) 30                                (d)10

19. A takes as much time as B and C together take to finish a job. A and B working together finish the job in 10 days. C alone can do the same job in 15 days. In how many days can B alone do the same work ?
(a) 60                                (b)90
(c) 120                              (d)45

20. A started a work and left after working for 2 days then B was called and he finished the work in 9 days. Had A left the work working for 3 days B would have finished the remaining work in 6 days. In how many days can each of them working alone , finish the whole work?
(a) 5                                   (b) 1
(c) 9                                  (d)14


21. A can do 3/4 of a work in 12 days. In how many days can he finish 1/8 of the work ?
(a)8                                 (b)12
(c) 7                                (d)  2

22. A man a woman or a boy can do a job in 20 days 30 days or 60 days respectively .How many boys must assist 2 men and 8 women to do the work in 2 days ?
(a) 18                            (b) 8
(c) 10                           (d) 14

23. A and B working alone can finish a job in 5 days and 7 days respectively. They work at it alternately for a day .If  A starts the work find in how many days the job will be finished ?
(a) 29/5                         (b) 11/5
(c) 24/5                         (d) 21/5

24. A can complete a work in 25 days and B can do the same work in 10 days. If A after doing 4 days leaves the work find in how many days B will do the remaining work ?
(a) 42/5                         (b) 22/5
(c) 11/5                        (d) 32/5

25. A can do a piece of a work in 12 days . A does the work for 2 days and leaves the job. B does the remaining work in 5 days .In how many days B alone can do the work ?
(a) 16                           (b) 18
(c) 20                           (d) 6

26. A can do a piece of work in 80 days he works at it for 10 days and than B alone finishes the remaining work in 42 days . In how much time will A and B working together finish the work ?
(a) 10                          (b) 5
(c) 25                         (d) 30

27. After A has completed 1/3 rd of piece of work in 4 days B completes the rest of it in 16 days. In how many days can A and B complete the work together ?
(a) 8                            (b) 10
(c) 12                          (d) 13                 (e) none of these

28. 20 men can prepare 40 toys in 24 days working 18 hours a day then in how many can 36 men prepare 48 toys working 16 hrs a day ?
(a) 16 days                   (b) 12 days
(c) 21 days                   (d) 18 days        (e) none of these

29. P can do a piece of work in 9 days. Q is 50% more efficient than P. The number of days it takes for Q to do the same piece of work is 
(a) 4(1/2)              (b) 6
(c) 3                     (d) 13(1/2)

30. B and C can complete a piece of work in 12 days, C and A can do it in 8 days. All the three can do it in 6 days. A and B together can complete it in
(a) 4 days (b) 6 days
(c) 8 days (d) 10 days



31. If 12 men or 24 boys can do a work in 66 days , the number of days in which 15 men and 6 boys can do it is 
(a) 44      (b) 33
(c)  55     (d)  66 



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1 comment:

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