1. Three pipes A, B and C are connected to a tank. A and B can fill it in 60 and 75 minutes respectively, while C can empty it in 100 minutes. If A, B and C are kept open successively for 1 minute each, how soon will the tank be filled?

2. Two pipes A and B can fill a cistern in 4 hrs. Had they been opened separately, then B would have taken 6 hrs more than A to fill the cistern. How much time will be taken by A to fill the cistern separately?

3. There is a water tank with a capacity of 1200 litres and 10 pipes are attached to it. Some of these pipes fill the tank while others empty the tank. Each pipe can fill or empty the tank at the rate of 10 litres per minute. When all pipes are opened, a half filled tank gets completely filled in 30 minutes. How many pipes are there those empty the tank?

4. Three men can do as much work as 5 boys; and the wages of 3 boys are equal to those of 2 men. A work on which 40 boys and 15 men are employed takes 8 weeks and costs Rs.15750. How long would it take if 20 boys and 20 men were employed, and how much would it cost?

5. 5 men and 7 women can earn Rs. 6440 in 7 days. 15 men and 17 women can earn Rs. 20160 in 8 days. In what time, will 21 men and 29 women earn Rs. 65280?

6. A, B and C can complete a work in 25 days, 15 days and 30 days, respectively. They started the work together, but after 6 days, B and C left while A completed the remaining work. If the total wage paid to complete the work is Rs. 10,000 then what is the share of A?

7. John’s efficiency is 2/3rd Jane’s efficiency. John starts off two pieces of work and works for a day alone and Jane joins him for the next half a day. As John leaves after that, Jane bucks up and triples her efficiency. If she can finish the remaining work alone in 4 hours, then in how much time could John and Jane together do a piece of work at initial efficiency?

8. Consider three pipes P, Q and R. The pipes P and Q can fill the cistern in 2 and 2.5 hours respectively. The pipe R can empty the cistern in 1 hour. If these pipes were opened at an interval of half an hour at 6:00 am, 6:30 am and 7:00 am respectively. When the cistern will get empty?

9. Rs. 78 is divided among 7 men, 11 women and 5 boys so that each woman may have thrice as much as a boy and as much as a man and a boy together. Find the share of a man?

10. Two pipes A and B can fill a cistern in 24 hours and 32 hours respectively. If both pipes are opened simultaneously, find out when the pipe A must be turned off so that the cistern can be filled in exactly 16 hours?

11. If 18 women are included in the task then find the cost if 2 women can do as much work as 1 man and wages of 6 women is equal to wages of 5 men.

12. If there is a leakage also which is capable of draining out the liquid from the tank at half of the rate of outlet pipe then what is the time taken to fill the empty tank when both the pipes are opened?

13. If the pressure of water in Pipe A and C decreases than original. Now, both pipes can fill the tank individually in same time. All three pipes takes 40 minutes to fill the tank jointly. In how much time pipe A and C alone can fill the tank?

14. In Dragon Ball Z, 2 saiyans and 1 namekian can kill 6 villains in 1 episode (20 minutes). If the stronger saiyan does thrice the work of the other and the namekian does half the work of the stronger saiyan, then how many hours does it take for the stronger saiyan alone to kill Frieza, whose strength is 6 times the strength of all the 6 villains together?

15. 8 men can finish a piece of work in 21 days, 14 men started working and after 3 days were replaced by 9 women. These 9 women finished the remaining work in 24 days. In how many days 9 women can finish the whole work?

16. How many hours did it take for the team to finish fencing the wall?

17. A group of people is assigned a task of checking papers. They are supposed to continue working without rest, and checking 1 paper is considered as 1 piece of work. 2 men and 4 women together can do 125% of this piece of work in an hour. A man works twice as fast as a woman does. How much of the same work can 4 men and 2 women finish in an hour?

18. Three pipes A, B and C can fill a cistern in 10, 12, and 15 hours respectively, when working alone. If all the three pipes are opened together, then the times taken to fill the cistern will be?

19. Aditya alone can finish the work in 12 days and Raman can alone finish the work in 18 days. If they work together and they are daily paid Rs. 550. What is the amount that Aditya will receive out of it?

20. 20 workers can reap a field in 30 days. If after every 10 days, 20 more workers are employed, in how many days shall the whole field be reaped?

21. A takes twice as long as B and C together take to do a piece of work and B takes thrice as long as A and C together. However, A, B, and C together can complete the work in 60 days. How long would C alone take to do the work?

22. A tank has a leak which would empty the tank in 16 hours. If the tank is full of water and a tap is turned on which admits 4 liters a minute into the tank, and it is now emptied in 48 hours. How many liters does the tank hold?

23. If 25 students can paint a wall in 2 hours. But at the end of every 10 mins, 10 additional students join. In how much time will the whole wall be painted?

24. P alone can complete a piece of work in 6 days and Q alone can complete the same piece of work in 12 days. In how many days can P and Q together complete the same piece of work?

25. Two pipes fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 min. The capacity of the tank is?

26. Two pipes can fill a tank in 5 minutes and 6 minutes respectively and a third pipe empties the full tank in 10 minutes. How much time will be taken to fill the tank if all pipes open simultaneously?

27. A and B together can write down all the solutions of the Time and Work test paper in 4 days. B’s speed is 60% of A’s speed and the total words written are 102400. What is A’s speed in words per hour if they work for 5 hours a day?

28. 5 women complete a work in 5 days and 5 children take 6 days to complete the same work. How many days will 3 women and 3 children together take to complete the work?

29. The quantity of water which flows through a pipe is proportional to the square of its diameter. If a pipe of 5 cm diameter can fill a tank in 1min. How long would 3 pipes of 3cm, 4cm and 5cm diameter together take to fill it?

30. 7 men and 3 boys finish a job in 10 days, while 3 men and 7 boys finish it in 15 days. 10 boys working together will finish it in