Time and Work – Multiple Choice Questions (MCQs)

1. 13. P can do a piece of work in 18 days and Q can do the same work in half the time taken by P. Then working together, what part of the same work can they complete in a day?

   • A. 1/6
   • B. 1/9
   • C. 1/12
   • D. 1/18

2. 14. If 3 men or 6 women can do a piece of work in 16 days, how many days will 12 men and 8 women take to do the same work?

   • A. 4 days
   • B. 6 days
   • C. 8 days
   • D. 10 days

3. 15. A can build a wall in 10 days, B in 12 days, and C in 15 days. If they start building together, in how many days will the wall be built?

   • A. 4 days
   • B. 5 days
   • C. 6 days
   • D. 8 days

4. 16. A and B can do a piece of work in 72 days and 90 days respectively. If they work together for 10 days, then the remaining work is:

   • A. 1/4
   • B. 1/5
   • C. 7/36
   • D. 29/36

5. 17. 15 men can complete a work in 20 days. How many days will 25 men take to complete the same work?

   • A. 8 days
   • B. 10 days
   • C. 12 days
   • D. 16 days

6. 18. A can type 40 pages in 5 hours, and B can type 60 pages in 10 hours. Working together, how many pages can they type in 15 hours?

   • A. 150 pages
   • B. 210 pages
   • C. 270 pages
   • D. 300 pages

7. 19. If A is 50% more efficient than B, and B can complete a work in 30 days, then A can complete the same work in:

   • A. 15 days
   • B. 20 days
   • C. 25 days
   • D. 45 days

8. 20. P and Q can complete a work in 12 days. Q and R can complete it in 15 days. R and P can complete it in 20 days. In how many days can P alone complete the work?

   • A. 10 days
   • B. 20 days
   • C. 30 days
   • D. 40 days

9. 21. If 5 men and 3 boys can do a piece of work in 4 days, and 10 men and 8 boys can do the same work in 2 days, then how many days will 1 man and 1 boy take to complete the work?

   • A. 10 days
   • B. 15 days
   • C. 20 days
   • D. 25 days

10. 22. A can do a piece of work in 20 days and B in 30 days. They work together for some days and then B leaves. If A finishes the remaining work in 10 days, after how many days did B leave?

    • A. 5 days
    • B. 6 days
    • C. 8 days
    • D. 12 days

11. 23. If 9 men can complete a piece of work in 16 days, how many women can complete the same work in 18 days if 3 men work as much as 2 women?

    • A. 8 women
    • B. 12 women
    • C. 16 women
    • D. 24 women

12. 24. A and B can do a job together in 6 days. C can do it alone in 8 days. A, B, and C together can complete the job in:

    • A. 3 days
    • B. 4 days
    • C. 16/7 days
    • D. 24/13 days