### Examination Questions on Time and Work

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:

- 5 days
- 7
^{5}⁄_{6}days - 10 days
- 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?

- 20 days
- 30 days
- 25 days
- 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?

- 7 hrs 30 mts
- 8 hrs
- 8 hrs 15 mts
- 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

- 4 days
- 5 days
- 6 days
- 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:

- 5
^{1}/_{3}days - 5 days
- 8 days
- 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

- 15 days
- 20 days
- 25 days
- 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?

- 4 days
- 6 days
- 5 days
- 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?

- 4 days
- 5 days
- 3 days
- 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
- 4
- 19
- 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?

- 100
- 60
- 75
- 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?

- 5
^{8}/_{9}days - 4
^{6}/_{6}days - 6
^{7}/_{13}days - 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

- 7 days
- 8 days
- 10 days
- 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?

- 2
- 3
- 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?

- 10 days
- 12 days
- 25 days
- 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?

- Rs. 48
- Rs. 60
- Rs. 72
- 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

- Rs. 1,200
- Rs. 1,500
- Rs. 1,800
- 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?

- 4 days
- 5 days
- 6 days
- 8 days