Time & Work Level-2 Quiz-2

1. 20 workers can reap 120 acres of land in 30 days working 6 hours a day. How many more acres of land can 30 workers working 12 hours a day reap in 15 days?

2. A tank has two inlet pipes which can fill it in 10 hours and 15 hours respectively. It also has an outlet pipe which can empty it in 30 hours. The inlet pipes are opened at 6:00 am. Just when the tank was expected to be full, it was spotted that the outlet pipe had accidentally been left
open. The outlet pipe was then closed. After how much more time will the tank be full? (in hours)

3. There are three taps P, Q and R. P takes thrice as much time as Q and R together to fill a tank. Q takes twice as much time as P and R together to fill the tank. In how much time (in hours) can R fill the tank individually, if the three together require 10 hours to fill the tank when opened simultaneously?

4. Pipe A can fill a tank in half the time in which pipe B can fill the same tank. If both the pipes are opened simultaneously, it takes 8 hours to fill the tank. In how many hours can A alone fill the tank?

5. Two pipes can fill a tank in 18 minutes and 27 minutes. A third pipe can empty the tank (when full) in 6 minutes. All the three pipes are opened when the tank was 2/3rd full. In how many minutes will the tank become empty?

6. The rate of work of B is twice that of A. A can complete a piece of work in 15 days. A started the work and B joined him after a few days. The work was completed in 11 days. For how many days did A work alone?

7. A fill pipe can fill a tank in 20 hours, a drain pipe can drain a tank in 30 hours. If a system of n pipes (fill pipes and drain pipes put together) can fill the tank in exactly 5 hours, which of the following are possible values of n (More than one option could be correct)?

1. 32
2. 54
3. 29
4. 40

8. If four men, or three women, or two children can complete a work in 183 days, then how long would it take for three men, four women, and six children working together to finish the work? (in days)

9. A and B can complete a work in 10 days and 20 days respectively. If they work on alternate days, then find the atleast number of days in which the work will be completed.

10. Four persons A, B, C and D produced 256 pieces of item P in 8 hours. B is twice as efficient as A. D is 25% less efficient than A but is three times as efficient as C. How many pieces of P did B produce?