Time & Work Test 6

1. The ratio of efficiencies of A, B and C is 2 : 3 : 4. A and C are busy somewhere so they work in alternate days. In this manner the work completed in 10 days. If they got 1200 Rs. as wages then what is the share of each?

2. A and B together can do a piece of work in 16 days and B and C can do the same work in 24 days. From starting A and B worked for 4 days and 7 days respectively. When A lefts the work then C joins the work and then he works for 23 days and complete the work. Then find in how many days will C complete the work alone?

3. Ramesh rao takes thrice the time of Jitu to complete a piece of work, and Jitu takes five times the time of pawan to complete the same work. If they work together then they can finish the work in 30 days. Then find the time taken by them to complete the work individually?

4. A bucket P is thrice efficient than the bucket Q to fill up the empty drum, the bucket P is poured 60 times into the drum. If the buckets P and Q are poured togetherly into the drum then how many times will it require to fill the drum?

5. A vehicle can carry the luggage from one place to another at a rate of 3 tons in 5 minutes, and an another vehicle can carry the luggage from one place to another at a rate of 1 ton in 2 minutes. If both the vehicles used together then how much time will they take to carry 33 tons luggage from one place to another?

6. 8 men and 12 boys can do a work in 12 days, while 16 men in 8 hours do the same work as 12 boys do in 24 hours. Then find in how many days will 40 men and 45 boys do thrice the work?

7. A contractor employs 200 men who finish 5/6 of total work in 10 days. Due to rain the work will stop for 20 days, and 2/5 th work also destroyed. After rain only 150 men came on the work. In how many days the work will complete?

8. There is an arrangement of food for 1600 soldiers for 80 days and each soldier take 900 gm food. After 30 days 400 soldiers left the camp. Now each soldier take 1000 gm food everyday. The remaining arrangement last for how many days?

9. 20 men can do a piece of work in 18 days. They worked together for 3 days, then 5 men joined them. In how many more days is the work completed?

10. 10 men or 15 women or 20 boys complete a piece of work in 60 days by working 6 hours a day. Then find how many hours required in a day for 10 men, 15 women and 20 boys to finish the work in 15 days ?

11. 25 men can do a piece of work in 10 days while 20 children can do the same work in 50 days. If 5 men started the work after 10 days how many children must assist so that the remaining work is completed in 20 days?

12. The wages of 6 men, 8 women & 4 boys is 520 rupees. The wages of 5 men is equal to that of 8 women and the wages of 5 boys is equal to that of 4 women. Find the total wages of 7 men, 6 women and 10 boys.

13. In a tank four taps of equal efficiency are fitted on equal intervals. The first pipe is at the base of the tank. And the 4th pipe is at 3/4 th of height of the tank. Then calculate in how much time the whole tank will empty. If the first pipe can empty the tank in 12 hours.

14. A leak in the bottom of a tank can empty it in 6 hours. A tap fills the tank at the rate of 4 litres/ min is turn on. If both the taps are opened then the tank will empty in 8 hours. Find the capacity of the tank?

15. A leak in the bottom of a tank can empty it in 12 hours. A tap which can fill 20 litres of water per minute is turned on. Both the taps are opened now, then the tank is emptied in 20 hours. Find the capacity of the tank ?

16. 8 taps are fitted in a tank some are inlet taps and rests are outlet tap. Each inlet tap can fill the tank in 12 hours and each outlet tap can empty it in 36 hours. Then calculate the number of inlet water taps if the whole tank filled in 3 hours.

17. 9 taps are fitted in a tank some are inlet taps and some are outlet taps. Each inlet tap can fill the tank in 9 hours and each outlet tap can empty the tank in 9 hours. If all the taps are open then tank will be full in 9 hours, then find the number of outlet taps.

18. 12 taps are fitted in a tank some are inlet taps and some are outlet taps. Each inlet tap can fill the tank in 6 hours and each outlet tap can empty the tank in 12 hours. If all the taps are open together then the tank will be full in 4 hours. Then find the number of inlet taps.

19. An inlet pipe can fill a tank in 5 hours and an outlet pipe can empty the same tank in 36 hours, working individually. How many additional number of outlet pipes of the same capacity are required to be opened, so that the tank never overflows ?

20. In a public bathroom there are n taps 1, 2, 3...n. Tap 1 and Tap 2 take equal time to fill the tank while tap 3 takes half the time taken by tap 2 and tap 4 takes half the time taken by tap 3. Similarly each next number of tap takes half the time taken by previous number of tap i.e., Kth tap takes half the time taken by (K – 1)th tap. If the 8th tap takes 80 hours to fill the tank the 10th and the 12th tap working together take how many hours to fill the tank?