Time & Work Test 7

1. Three typist A, B and C working together 8 hours per day can type 900 pages in 20 days. In a day B types as many pages more than A as C types as many pages more than B. The number of pages typed by A in 4 hours equal to the number of pages typed by C in 1 hour. How many pages C types in each hour?

2. Anne, Benne and Cenne are three friends. Anne and Benne are twins. Benne takes 2 days more than Cenne to complete the work. If Anne started a work and 3 days later Benne joins him, then the work gets completed in 3 more days. Working together Anne, Benne and Cenne can complete thrice the original work in 6 days. In how many days Benne can complete twice the original work with double the efficiency working alone?

3. Henry and Ford are two different persons, but when they worked together, they complete it in 10 days. Had Henry worked at half of his efficiency and Ford at 5 times of his efficiency it would have taken them to finish the job in 50% of the scheduled time. In how many days Ford can complete the job working alone?

4. Pascal and Rascal are two workers. Working together they can complete the whole work in 10 hours. If the Pascal worked for 2.5 hours and Rascal worked for 8.5 hours, still there was half of the work to be done. In how many hours Pascal working alone, can complete the whole work?

5. Two workers undertake to do a job. The second worker started working 2 hours after the first. Five hours after the second worker has begun working there is still 9/20 of the work to be done. When the assignment is completed, it turns out that first worker has done 60% of the work, while second worker has done rest of the work. How many hours would it take each one to do the whole job individually?

6. 6 men and 5 children can earn Rs. 1400 in 5 days. 8 men and 7 children can earn Rs. 3040 in 8 days. How many days will it take to 4 men and 3 children to earn Rs. 720?

7. 3 men and 5 women can built a wall of length 25 metre in 20 days. 2 men and 6 women built 40 metres wall of same type in 40 days. Find the ratio of work efficiencies of 1 men and 1 women.

8. 3 men or 4 women or 5 boys can earn Rs. 150 daily. Then, 7 men with 12 women and 3 boys will earn per day is :

9. 3 men and 4 boys can earn Rs.756 in 7 days. 11 men and 13 boys can earn Rs.3008 in 8 days. In what time will 7 men with 9 boys earn Rs.2480?

10. 20 men can cut 30 trees in 4 hours. If 4 men leave the job, how many trees will be cut in 6 hours?

11. 5 men can prepare 10 toys in 6 days working 6 hours a day. Then in how many days can 12 men prepare 16 toys working 8 hrs a day?

12. 10 men can prepare 20 toys in 3 days working 12 hours a day. Then in how many days can 24 men prepare 32 toys working 4 hrs a day?

13. Pipe A takes 3/4 of the time required by pipe B to fill the empty tank individually. When an outlet pipe C is also opened simultaneously with pipe A and pipe B, it takes 3/4 more time to fill the empty tank than it takes normally when only pipe A and pipe B are opened together. If it takes 33 hours to fill when all the three pipes are opened simultaneously, then in what time pipe C can empty the full tank operating alone ?

14. A tank is connected with 8 pipes. Some of them are inlet pipes and rest work as outlet pipes. Each of the inlet pipe can fill the tank in 8 hours, individually, while each of those that empty the tank i.e., outlet pipe, can empty it in 6 hours individually. If all the pipes are kept open when the tank is full, it will take exactly 6 hours for the tank to empty. How many of these are inlet pipes?

15. A tank has two inlet pipes which can fill the empty tank in 12 hours and 15 hours working alone and one outlet pipe which can empty the full tank in 8 hours working alone. The inlet pipes are kept open for all the time but the outlet pipe was opened after 2 hours for one hour and then again closed for 2 hours then once again opened for one hour. This pattern of outlet pipe continued till the tank got completely filled. In how many hours the tank has been filled, working on the given pattern?

16. A, B, C are three pipes attached to a cistern. A and B can fill it in 20 and 30 minutes respectively, while C can empty it in 15 minutes. If A, B, C are kept open successively for 1 minute each, how soon will the cistern be filled?

17. A bath can be filled by the cold water pipe in 10 minutes and by the hot water pipe in 15 minutes. A person leaves the bathroom after turning on both the pipes simultaneously and returns at the moment when the bath will be full. Finding however, that the waste pipe has been open, he now closed it. In 4 minutes more the bath is full. In what time would the waste pipe empty it.

18. Pipe A takes 4 minutes more to fill the cistern than two pipes A and B opened together to fill it. Second pipe B takes 9 minutes more to fill cistern than two fill pipes A and B opened together to fill it. When will the cistern be full if both pipes are opened simultaneously.

19. Two pipes can fill a cistern in 30 and 15 hours respectively. The pipes are opened simultaneously and it is found that due to leakage in the bottom, 5 hours extra are taken for the cistern to be filled up. If the cistern is full, in what time would the leak empty it?

20. Three pipes A, B and C are connected to a tank. A and B together can fill a tank in 60 minutes, B and C together in 40 minutes and C and A together in 30 minutes. In how much time will each pipe fill the tank separately?