IBPS Clerk 2019 | Time and Work | Maths

1. A can do a piece of work in 10 days while B can do the same piece of work in 15 days. In how many days both will complete the same work together?
[a] 10 days
[b] 8 days
[c] 6 days
[d] 4 days
[e] None of these

2. A and B can do a piece of work in 18 days, B and C can do it in 24 days, A and C can do it in 36 days. In how many days C will complete the same work alone?
[a] 90 days
[b] 104 days
[c] 124 days
[d] 144 days
[e] None of these

3. A can do a piece of work in 20 days and B can complete the same piece of work in 25 days. If they start the work together but after 6 days. A left the work. In how many days the total work would be finished?
[a] 22 days
[b] 19.5 days
[c] 17.5 days
[d] 14 days
[e] None of these

4. A and B and complete a piece of work in 24 days & 36 days respectively. They start the work but 3 days before completion of work, A left. In how many days will the total work be complete.
[a] 16.2 days
[b] 14 days
[c] 15.4 days
[d] 14.5 days
[e] None of these

5. P and Q can complete a job in 24 days working together. P alone can complete it in 32 days. Both of them worked together for 8 days and then P left. The number of days Q will take to complete the remaining work is?
[a] 96 days
[b] 64 days
[c] 32 days
[d] 48 days
[e] None of these

6. A can do a piece of work in 9 days and B can do the same piece of work in 12 days respectively. If they work for a day alternative, in how many days the work would be finished if A begins the work?
[a] 12 days
[b] 16.5 days
[c] 10.25 days
[d] 12.4 days
[e] None of these

7. Two workers A and B engaged to do a work. A working alone takes 8 hours more than to complete the job than if both work together, If B worked alone, he would need 4.5 hours more to complete the job, than they both working together. What time would they take to do the work together?
[a] 6 days
[b] 7.4 days
[c] 5 days
[d] 4.5 days
[e] None of these

8. A work is done by three person A, B and C. A alone takes 10 hours to complete the work but B and C working togeter takes 4 hours, for the completion of the same work. If all of them worked together and completed 14 times of the work, then how many hours have they worked?
[a] 12 hours
[b] 20 hours
[c] 40 hours
[d] 48 hours
[e] None of these

9. A, B and C can do a piece of work in 20, 25 and 30 days respectively. They started the work together after 2 days of start of work A quits and 3 days after A, B quits. In how many day the total work would be finished?
[a] 16 days
[b] 21 days
[c] 23 days
[d] 32 days
[e] None of these

10. 30 Children can do a piece of work in 16 days. How many children would be required to do the same work in 20 days?
[a] 24 Children
[b] 21 Children
[c] 18 Children
[d] 28 Children
[e] None of these