MEDIUM
Earn 100

Nine red pipes and twelve blue pipes provide water to a swimming pool. A red pipe can fill the pool in 36 hours whereas a blue pipe can fill it in 48 hours. There was some problem with the water supply and some of the pipes did not supply water at all. As a result it took 50% more time to fill the swimming pool. What could be the number of pipes that stopped working?

50% studentsanswered this correctly

Important Questions on Ratio and Proportion

EASY

Two inlet pipes A and B can fill an empty tank in 22 and 33 hours respectively. They are opened together but pipe A is turned off 3 hours before the tank is filled. How many hours are required to fill the tank completely by both pipes?

MEDIUM
 Pipe A and Pipe B can fill a tank in 4 and 16 hours respectively. How long will they take to fill in the tank working together? 
MEDIUM

Pipe A in comparison to pipe B fills a tank in one fourth time. Pipe C in comparison to pipe A takes 3 times more time to fill the tank. If the three pipes are opened together, the tank is filled in 24 hours. If Pipe C is not opened, how much time will it take to fill the tank?

HARD

Of the three pipes, the first two can fill an empty tank in 10.8 and 21.6 hours respectively, while the third pipe can empty the tank in 18 hours. If the tank is empty and all the three pipes are opened together then in how many hours will tank fill?

MEDIUM
Inlet pipe P can fill a tank in 7 hours, while outlet pipe Q can empty the completely filled tank in 6 hours. If P is opened for first three hours and then Q is also opened, then how much time will be needed to empty the tank? 
MEDIUM
Pipe A can fill a tank in 15 hours and pipe B can fill the same tank in 18 hours. Pipe C can empty the same full tank in 9 hours. If all the pipes are opened together, then what portion of the tank will be filled after 6 hours?
MEDIUM
Two pipes X and Y can fill a tank in 24 and 32 hours respectively. If both the pipes are opened at the same time, then after how many hours should the first pipe be closed so that it takes only 16 hours to fill in the tank.
MEDIUM
Two pipes A and B can fill a tank in 45 minutes. If pipe A can fill an empty tank in 1 hour, how long will it take pipe B to fill the empty tank?
MEDIUM
Three taps R, S and T can fill a tank in 90, 100 and 180 minutes respectively. If all the taps are opened together, then in how many minutes will the tank be filled?
MEDIUM
Two valves X and Y Can Separately fill a tank in 20 hours and 30 hours, respectively. Both the valves are opened to fill the tank but when the tank is one third full the valve is closed. A leak develops in the tank through which one third of the water supplied by both the valves leaks out. The leak is immediately closed and the two valves are again opened. What is the total time taken to fill the tank? 
HARD
Pipes A and B can fill the tank in 10 hours and 40 hours, respectively. C is an outlet pipe attached to tank. If all three pipes are opened simultaneously, it takes 80 minutes more time than what Aand B together take to fill the tank. A and B are kept open for 7 hours  and then closed and C was opened. C will now empty the tank in:
MEDIUM

Two pipes separately take 5 hours and 8 hours respectively to fill a tank. The third pipe takes 3.2 hours to drain out the water from the tank. How much time will all the three pipes take to fill the completely empty tank?

EASY
Two pipes A and B can fill a cistern in 1212 hours and 25 hours, respectively. The pipes are opened simultaneously, and it is found that due to a leakage in the bottom, it took 1 hours 40 minutes more to fill the cistern. When the cistern is full, in how much time will the leak empty the cistern?
MEDIUM
A, B and C are three pipes joined to a tank. A and B together can fill an empty tank in 6 hours, B and C together can fill it in 10 hours and C and A together can fill it in 712 hours. What time will pipe A alone take to fill the tank?

 

EASY
A pump can fill a tank with water in 1 hour. Because of a leak, it took 113 hours to fill the tank. In how many hours can the leak alone drain all the water of the tank when it is full?
MEDIUM
Two pipes can fill a cistern in 72 and 90 minutes respectively, If both the pipes are left open how long will it take for the cistern to be half full?
EASY
A pipe can fill a tank in 30 minutes. Due to two leakages A and B, the filled tank would be drained off in 112hour and 114hour
respectively. How long will it take to fill the tank if the pipe, A and B are left open?
EASY
Pipe A and B working together can fill an empty tank in 12 hours. If A is stopped after 2 hours then it will take 42 hours to fill the tank. How much time will A alone will take to fill the empty tank? 
EASY
Inlet Pipe A can fill a cistern in 32 hours, Whereas outlet Pipe B can drain the filled cistern in 40 hours. The two pipes are opened together when the cistern is empty, but the outlet pipe is closed when the cistern is three-quarters full. How many hours will it take to fill the complete cistern?  
MEDIUM
Three taps A, B, and C together can fill an empty cistern in 10 min. The tap A alone can fill it in 30 min and then tap B alone in 40 min. How long will the tap C alone will take to fill it?