Arithmetic (Pipes and Cistern)
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1) A tank is filled by three taps A, B and C. Tap A can fill the tank in 4 hours, tap B can fill the tank in 6 hours and tap C can empty the tank in 8 hours. If all the three taps are opened together, then the tank will be filled in:
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2) Two pipes A and B can fill a tank in 10 hours and 15 hours respectively. If both the pipes are opened together, but the pipe A is turned off after 2 hours, then the total time taken to fill the tank is:
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3) Two pipes A and B can fill a cistern in 24 minutes and 32 minutes respectively. If both the pipes are opened together and after 12 minutes, pipe A is turned off, then the time taken by the cistern to be filled is:
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4) A cistern can be filled by a tap in 4 hours and emptied by a leak in 6 hours. If the tap is open for 8 hours and then the leak is also opened, then the cistern will be:
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5) Two pipes A and B can fill a tank in 6 hours and 8 hours respectively. If the two pipes are opened together, then after how much time should the first pipe be turned off so that the tank is just filled in 10 hours?
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6) A cistern can be filled by a tap in 4 hours. It can be emptied by a leak in 6 hours. If both the tap and the leak are opened together, then the cistern will be:
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7) A cistern can be filled by a tap in 4 hours and emptied by a leak in 9 hours. If both the tap and the leak are opened together, then the cistern will be:
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8) Two pipes A and B can fill a tank in 20 minutes and 30 minutes respectively. If both the pipes are opened together, then the tank will be filled in:
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9) A pipe can fill a tank in 10 hours and another pipe can empty the tank in 20 hours. If the two pipes are opened together and after 2 hours, the second pipe is closed, then how much more time will the first pipe take to fill the tank?
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10) A cistern can be filled by a pipe in 4 hours. Due to a leak at the bottom, it takes 4.5 hours to fill the cistern. If the cistern is empty, how long will it take to fill it due to a leak at the bottom?
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11) Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is:
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12) Two pipes A and B can fill a tank in 20 minutes and 30 minutes respectively. Pipe C can empty the tank in 40 minutes. If all the three pipes are opened together, then the tank will be filled in:
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13) A cistern has three taps A, B and C. A and B can fill it in 4 hours and 6 hours respectively, while C can empty it in 2 hours. If the taps are opened in order at 1 pm, 2 pm and 3 pm respectively on the same day, the cistern will be empty at:
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14) Two pipes A and B can fill a tank in 12 minutes and 15 minutes respectively. If both the pipes are opened together, but the pipe A is turned off after 3 minutes, then the total time taken to fill the tank is:
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15) Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?
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16) A tank is filled by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. If all the three pipes together can fill the tank in 36 minutes, then how long will it take each pipe to fill the tank separately?
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17) A cistern can be filled by a tap in 4 hours and emptied by a leak in 6 hours. If both are opened simultaneously, then after how much time will the cistern be filled?
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18) A pipe can fill a tank in 20 minutes and another pipe can empty the tank in 30 minutes. Both the pipes are opened together but after 4 minutes the second pipe is closed. How much more time will the first pipe take to fill the tank?
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19) A cistern can be filled by a tap in 4 hours. It can be emptied by a leak in 9 hours. If both the tap and the leak are opened together, then the cistern will be:
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20) Two taps A and B can fill a cistern in 10 hours and 15 hours respectively. A third tap C can empty the cistern in 12 hours. If the three taps are opened together, then the tank will be:
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21) Two pipes can fill a tank in 10 hours and 12 hours respectively while a waste pipe can empty it in 20 hours. If all the three pipes operate simultaneously, then the tank will be filled in:
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22) A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is:
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23) A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then the cistern will be filled in:
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24) A tank can be filled by two taps A and B in 20 minutes and 30 minutes respectively. A pipe C can empty the tank in 12 minutes. If all the three are opened together, then the tank will be filled in:
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25) A and B can complete a work in 30 days. If they work together for 15 days, then what fraction of the work is left?
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