Time & Work Level-3 Quiz-3

1. Five men can complete a work in 15 days. Six women can complete the same work in 25 days. Two groups comprising two men and three women respectively work on alternate days, starting with the men. In how many days is the work completed?

2. Two pipes A and B can fi ll a tank in 20 hours and 30 hours respectively. Both the pipes were opened and just when the tank should have been full, it was noticed that an emptying pipe was also open. The emptying pipe was then closed and it took 6 hours more to fill the tank. In how much time (in hours) does the emptying pipe empty the tank (when full)?

3. Ten painters can paint a house in 10 days. However after starting the work, one painter leaves work at the end of the first day. Another painter leaves work at the end of the second day. This process continues until only one painter is left and he continues till the job is completed. How long does it take to finish the job (in days)?

4. Irfan, Jay and Komal can complete a job in 1 day, 20 days and 10 days respectively. They started the work together but Irfan was unwell on the first day, therefore, he could not work at his normal capacity and left after a day. When Jay and Komal completed the job, Jay was paid ` 17000
out of the total ` 60000 paid to them. At what percentage of his normal capacity did Irfan work on the first day?

5. Anand, Raju, Suresh and Venkat together produced 392 pieces of an item in 6 hours. Suresh is four times as efficient as Anand and is 1/3 rd less efficient than Venkat. Raju is half as efficient as Venkat. How many pieces would Raju have produced if he worked for 8 hours?

6. A group of 30 women takes 36 days to complete a piece of work for which they are paid a total of ` 60,000. The rate at which a man works as well as his daily wage is double that of a woman. How many men must join 15 women to complete the work in 24 days? How much more money is earned by the men than by the women?

7. In a tank of dimensions 5 m × 6 m × 7 m, the inlet pipe can supply at 5 m 3/hr and the outlet pipe can empty the tank in 30 hrs. If the two pipes are opened simultaneously, how much time does it take to empty the tank when it is half full?

8. A frog, which is at the bottom of a 50 m deep well, is trying to come out of it. In every jump it covers 1.25 m but slips 0.75 m. In how many jumps would it come out of the well?

9. There are 4 types of pipes which are connected to an empty tank. Type A can fill the tank in 20 hours. Type B can fill the tank in 25 hours. Type C can empty the tank in 40 hours. If 3 type-A pipes, 2 type-B pipes, 4 type-C pipes and 5 type-D pipes are used, then the tank is filled in n/3 hours find n type-D pipes are used, Type D can empty the tank in 50 hours.

10. One type-A, one type-B, one type-C and a certain number of type-D pipes are used and the tank is filled in 40 hours. Find the number of type-D pipes used.