Time & Work Test 5

1. Ramesh rao employs some men to do a piece of work in 90 days working 6 hours a day. But after working for 60 days they went on strike due to which the work was disrupted for 10 days and there was no work during strike. After that Ramesh rao employed 4 additional men to finish the work and he also increased the working hours by 2 hours. Find the initial number of men Ramesh rao employed ?

2. When A, B and C are deployed for a work, A and B together do 80% of the work and B and C together do 55 % of the work. Who is the most efficient?

3. Ramesh rao and Jitu are two workers working together they can complete the whole work in 10 hours. Ramesh rao can complete the work in 8 hours with the help of pawan. Similarly Jitu and pawan can complete the work in 13 1/3 hours. If Ramesh rao and Jitu did 50% of the work and after that Pawan work all the time. How much time needed to complete the work?

4. A group of workers can complete a job in 9 days. But it so happens that every alternate day starting from the second day, 2 workers are withdrawn from the job and every alternate day starting from the third day one worker added to the group. In such a way that the job is finished by the time and there is no worker left. If it takes double the time to finish the job now, find the number of workers who started the job?

5. A man has three sons. The man can do twice the work of his three sons. The first and the second son can do the work in 24 days and 36 days respectively. If the man completes the work in 3 3/11 days. Then find out the time taken by the third person to finish the work ?

6. A completes half as much work as B in equal time and C completes half as much work as (A+B) in equal time. If C alone can complete the work in 40 days then in how many days they complete the work together?

7. A contractor predicts that of the two workers one can make a wall in 12 hours and the other in 11 hours. He finds his experience that if both the workers work together they use 300 bricks more per hour, and build the wall in 4 hours. Then find the number of bricks in the wall?

8. In a factory there are three shifts of work in a day. During these three shifts the average working efficiency of workers are 80% 70% and 50% respectively. If work is completed in 60 days by working in first shift. Then in how many days the work will be completed by working three shifts all the day?

9. A and B can complete a work in 6 days. A and C can do the same work 2 1/2 days earlier than B + C. They together can finish the whole work in 5 days. Then in how many days will they individually complete the work?

10. B and C are twice efficient than A. A and C are 19/8 times efficient than B. The ratio of efficiency of B and C is 4 : 5. If together they complete the work in 13 1/3 days then Find in how many days will B complete the work?

11. 7 Indian and 4 Chinese finished a job in 5 days. 7 Japanese and 3 Chinese finish the same job in 7 days. Given that the efficiency of each person of a particular nationality is same but different from others. One Indian, one Chinese and one Japanese will complete the work in :

12. 4 men and 2 boys can finish a piece of work in 5 days, 3 women and 4 boys can finish the same work in 5 days. Also 2 men and 3 women can finish the same work in 5 days. In how many days 1 man, 1 woman and one boy can finish the work, at their double efficiency ?

13. Three men and 5 women together can finish a job in 3 days. Working on the same job 3 women take 5 days more than the time required by 2 men. What is the ratio of efficiency of a man to a woman?

14. The ratio of the work of a man, a woman and a boy is 4 : 3 : 2 and in a factory 16 men, 18 women and 24 boys do the work and they earn 13944 Rs. in a week. Then find the annual earning of 36 men, 24 women and 20 boys, if a year contains 365 days?

15. 3 men, 8 women and 18 boys can do a work in 1 day, 3/4 days and 1/2 day respectively. If 3 women and 3 boys are hired for 1 day work then find out how many men are hired for how many days to complete the remaining work?

16. Two pipes A and B can fill a cistern in 37 1/2 minutes and 45 minutes respectively. Both the pipes are opened. The cistern will be filled just in half an hour if the pipe B is turned off after:

17. A tank can be filled with water by two pipes A and B together in 36 minutes. If the pipe B was stopped after 30 minutes the tank is filled in 40 minutes. The pipe B can alone fill the tank in

18. Two taps A and B can fill a tank in 48 min. and 36 min. If both the taps are opened together. After how much time tap A is closed so that the whole tank will be filled in 25 min. 30 sec.

19. Taps A and B can fill a tank in 20 hours and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is 1/3 rd full, a leak develops in the bottom of the tank, through which 1/3 rd of the water supply by both the pipes leaks out. Then calculate in how much time the tank will be full ?

20. If taps A and B can fill a tank in 15 hours and 20 hours respectively. Both the taps are opened together when the tank is 1/4 th full, a leak develops in the bottom of the tank . Through which 1/5 th of water supply by both the pipes leaks out. Then calculate in how many hours the tank will be full ?