PRACTICE QUESTIONS ON TIME AND WORK

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This section contains a practice test of 20 questions on Time and Work and more than 25 model questions based on previous examinations on time and work. Practice in a time bound manner and evaluate yourself or just go through model questions and their solutions to improve your understanding of problems on time and work.



PRACTICE TEST ON TIME AND WORK

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Question

1. A and B working separately can do a piece of work in 9 and 12 days respectively. If each works on alternate days beginning with A, the work would be completed in how many days?

2. A does half as much work as B in three-fourth of the time. If together they take 18 days to complete a work, how much time shall B take to do it alone?

3. A and B together can do a work in 10 days. B and C together can do the same work in 6 days. A and C together can do the work in 12 days. Then A, B and C together can do the work in

4. A and B together can do a work in 12 days. B and C together can do it in 15 days. If the efficiency of A is twice that of C, then the days required for B alone to finish the work is

5. A and B can do a work in 12 days, B and C can do the same work in 15 days, C and A can do the same work in 20 days. The time taken by A, B and C to do the same work is

6. A is 60% as efficient as B. C does half of the work done by A and B together. If C alone does the work in 20 days, then A, B and C together can do the work in

7. A can do a piece of work in x days and B can do the same work in 3x days. Together they can finish the work in 12 days. Find the value of x.

8. A, B, C can do a piece of work individually in 8, 10 and 15 days respectively. A and B start working but A quits after working for 2 days. After this, C joins B till the completion of work. In how many days will the work be completed?

9. X can do a work in 16 days. In how many days will the work be completed by Y if the efficiency is 60% more than that of X?

10. A and B can together finish a work in 30 days. They worked on it for 20 days after which B left the work. The remaining work was done by A alone in 20 days more. In how many days can A alone finish the work?

11. A, B and C earn Rs. 550 if they work together. A and B together do 7/11 of the work. What should be the share of C in the earning?

12. If 20 men working 8 hours per day can complete a piece of work in 21 days. How many hours per day must 48 men work to complete the same job in 7 days?

13. If 5 persons together can make 5 mats in 5 hrs, then how many mats will 10 persons make in 10 hours?

14. A can do a certain job in 12 days. In how many days can B, who is 60% more efficient do the job?

15. A and B together can do a piece of work in 9 days. If A does thrice the work of B in a given time, the time A alone will take to finish the work is

16. A can do a piece of work in 10 days, B can do it in 12 days and C can do it in 15 days. In how many days will A, B and C finish it if they work all together?

17. If 36 men together can build a wall 140 m long in 21 days, how many men will be required to build the same wall in 14 days?

18. A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C can do it 6 days. In how many days can A and C together do it?

19. A can do a work in 12 days while B can do it in 15 days. They undertake to complete it together for Rs. 450. What will be the share of A in this amount of money?

20. Twenty women can do a work in 16 days. 16 men can complete the same 15 days. The ratio between the capacity of a man and a woman is


MODEL QUESTIONS ON TIME AND WORK

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Questions on Time and Work

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1. X and Y can do a work in 12 days. Y and Z in 15 days. Z and X in 20 days. If A, B and C work together, they will complete the work in:  

  1. 5 days
  2. 7 56 days
  3. 10 days
  4. 15 23 days

2. A is thrice as good workman as B and therefore, able to finish a job in 60 days less than B. Working together they will do it in?  

  1. 20 days
  2. 30 days
  3. 25 days
  4. 22½ days

3. Ronald and Elan are working on an assignment. Ronald takes 6 hours to type 32 pages on a computer, while Elan takes 5 hours to type 40 pages. How much time will they take to type 110 pages working together on two different computers?  

  1. 7 hrs 30 mts
  2. 8 hrs
  3. 8 hrs 15 mts
  4. 8 hrs 25 mts

4. 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. 4 days
  2. 5 days
  3. 6 days
  4. 7 days.

5. A and B can do a 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 1/3 days
  2. 5 days
  3. 8 days
  4. 10 days.

6. A 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, then B alone could do it in  

  1. 15 days
  2. 20 days
  3. 25 days
  4. 30 days

7. 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 days
  2. 6 days
  3. 5 days
  4. 8 days.

8. 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.

9. 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 1/4 of a day?  

  1. 1
  2. 4
  3. 19
  4. 41

10. A contractor undertakes to make a road in 40 days and employs 25 men. After 24 days he finds that only one-third of the road is made. How many extra men should he employ so that he is able to complete the work 4 days earlier?  

  1. 100
  2. 60
  3. 75
  4. 25

11. A, B and C can do a piece of work individually in 8, 12 and 15 days respectively. A and B start working, but A quits after working for 2 days. After this, C joins B till the completion of work. In how many days will the work be completed?  

  1. 5 8/9 days
  2. 4 6/6 days
  3. 6 7/13 days
  4. 3 3/3 days

12. 15 men complete a work in 16 days. If 24 men are employed, then the time required to complete that work will be  

  1. 7 days
  2. 8 days
  3. 10 days
  4. 12 days

13. A can do a piece of work in 4 days and B can complete the same work in 12 days. What is the number of days required to do the same work together?  

  1. 2
  2. 3
  3. 4
  4. 5

14. X can do a work in 16 days. In how many days will the work be completed by Y if the efficiency of Y is 60% more than that of X?  

  1. 10 days
  2. 12 days
  3. 25 days
  4. 30 days

15. 2 men and 1 woman can complete a piece of work in 14 days, while 4 women and 2 men can do the same work in 8 days. If a man gets Rs. 90 per day, what should be the wages per day of a woman?  

  1. Rs. 48
  2. Rs. 60
  3. Rs. 72
  4. Rs. 135

16. A can finish a work in 15 days, B in 20 days and C in 25 days. All these three worked together and earned Rs. 4,700. The share of C is  

  1. Rs. 1,200
  2. Rs. 1,500
  3. Rs. 1,800
  4. Rs. 2,000

17. 20 workers working for 5 hours a day complete a work in 10 days. If 25 workers are employed to work 10 hours a day, what is the time required to complete the work?  

  1. 4 days
  2. 5 days
  3. 6 days
  4. 8 days

18. X can do a piece of work in 25 days. Y is 25% more efficient than X. The number of days taken by Y is:  

  1. 15 days
  2. 20 days
  3. 21 days
  4. 30 days

19. 45 people take 18 days to dig a pond. If the pond would have to be dug in 15 days, then the number of people to be employed will be:  

  1. 50
  2. 54
  3. 60
  4. 72

20. A and B can do a piece of work in 10 hours. B and C can do it in 15 hours, while A and C take 12 hours to complete the work. B independently can complete the work in:  

  1. 12 hours
  2. 16 hours
  3. 20 hours
  4. 24 hours

21. ‘A’ can do a piece of work in ‘x’ days and ‘B’ can do the same work in 3x days. To finish the work together they take 12 days. What is ‘x’ equal to?  

  1. 8
  2. 10
  3. 12
  4. 16

22. If one man or two women or three boys can do a piece of work in 55 days, then one man, one woman and one boy will do it in how many days?  

  1. 20 days
  2. 30 days
  3. 40 days
  4. 50 days

23. 76 ladies complete a job in 33 days. Due to some reason some ladies did not join the work and therefore it was completed in 44 days. The number of ladies who did not report for the work is  

  1. 17
  2. 18
  3. 19
  4. 20

24. ‘X’ completes a job in 2 days and ‘Y’ completes it in 3 days and ‘Z’ takes 4 days to complete it. If they work together and get Rs. 3,900 for the day, then how much amount does ‘Y’ get?  

  1. Rs. 1,800
  2. Rs. 1,200
  3. Rs. 900
  4. Rs. 800

25. 1/48 of a work is completed in half a day by 5 persons. Then, 1/40 of the work, can be completed by 6 persons in how many days?  

  1. 1
  2. 2
  3. 3
  4. 1/2

26. If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, what is the time taken by 15 men and 20 boys in doing the same type of work?  

  1. 4 days
  2. 5 days
  3. 6 days
  4. 7 days

27. A and B can do a piece of work in 8 days, B and C can do the same work in 12 days. If A, B and C can complete the same work in 6 days, in how many days can A and C complete the same work?  

  1. 8
  2. 10
  3. 12
  4. 16



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