Examination 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 5⁄6 days
  3. 10 days
  4. 15 2⁄3 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