Home
Class 14
MATHS
Two pipes can fill a cistern in 14 and 1...

Two pipes can fill a cistern in 14 and 16 hours respectively. The pipes are opened simultaneously and it is found that due to leakage in the bottom of the cistern, it takes 32 minutes extra for the cistern to be filled up. When the cistern is full, in what time will the leak empty it?

A

114 h

B

112 h

C

100 h

D

80 h

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TIME AND WORK

    DISHA PUBLICATION|Exercise Practice Exercise (Expert Level)|27 Videos
  • TIME AND WORK

    DISHA PUBLICATION|Exercise Test Yourself|15 Videos
  • TIME AND WORK

    DISHA PUBLICATION|Exercise Practice Exercise (Foundation Level)|51 Videos
  • SET THEORY

    DISHA PUBLICATION|Exercise Test Yourself|15 Videos
  • TIME, SPEED AND DISTANCE

    DISHA PUBLICATION|Exercise Test Yourself|15 Videos

Similar Questions

Explore conceptually related problems

To pipes can fill a cistern in 14 hours and 16 hours respectively.The pipes are opened simultaneously and it is found that due to leakage in the bottom it took 32minutes more to fill the cistern.When the cistern is full,in what time will the leak empty it?

Two pipes can fill a cistern in 30 and 15h respectively. The pipes are opened simultaeously and it is found that due to leakage in the botttom, 5h extra are taken for cistern to be filled up. If the cistern is full, in what time would thhe leak empty it ?

Two pipes can fill a cistern in 14 and 16 h, respectively. The pipes are opened simultaneously and it is found that due to leakage in the bottom, it took 92 min more to fill the cistern. When the cistern is full, in what time will the leak empty it?

Two pipes A and B can fill a cistern in 30 min and 40 min respectively. Both the pipes are turned on simultaneously. When should the second pipe be closed if the cistern is to be filled in 24 min.

Two pipes can fill a cistern in 3 hours and 4 hours respectively and a waste pipe can empty it in 2 hours. If all the three pipes are kept open, then the cistern will be filled in :

Two pipes A and B can fill a cistern in 4 minutes and 6 minutes respectively. If these pipes are turned on alternately for 1 minute each how long will it take for the cistern to fill?

A pipe can fill a cistern in 6 hours. Due to a leak in the bottom it is filled in 7 hours. When the cistern is full, in how much time will it be emptied by the leak?

A cistern which could be filled in 9 hours takes one hour more to be filled owing to a leak in its bottom. If the cistern is full, in what time will the leak empty it?

DISHA PUBLICATION-TIME AND WORK-Practice Exercise (Standard Level)
  1. There is leak in the bottom of a tank. This leak can empty a full tank...

    Text Solution

    |

  2. A company has a job to prepare certain no. of cans and there are three...

    Text Solution

    |

  3. 3 small pumps and a large pump are filling a tank. Each of the three s...

    Text Solution

    |

  4. A and B can do a job in 15 days and 10 days, respectively. They began ...

    Text Solution

    |

  5. A contract to be completed in 46 days and 117 men were set work, each ...

    Text Solution

    |

  6. If 12 men or 15 women or 18 boys can do a piece of work in 15 days of ...

    Text Solution

    |

  7. The work done by a man, a woman and a child is in the ratio of 3 : 2 :...

    Text Solution

    |

  8. The diameter of three pipes are 1cm, 1 (1)/(3) cm and 2 cm respectivel...

    Text Solution

    |

  9. If X works 3 times as fast as Y and is able to complete, a work in 40 ...

    Text Solution

    |

  10. The Bubna dam has four inlets. Through the first three inlets, the dam...

    Text Solution

    |

  11. Two pipes A and B can fill up a half full tank in 1.2 hours. The tank ...

    Text Solution

    |

  12. Two pipes can fill a cistern in 14 and 16 hours respectively. The pipe...

    Text Solution

    |

  13. Each of A, B and C need a certain unique time to do a certain work. C ...

    Text Solution

    |

  14. All the three taps were open and the emptying pipe is closed. At the t...

    Text Solution

    |

  15. A student studying the weather for d days observed that (i) it rained ...

    Text Solution

    |

  16. The rate of flow of water (in litre per min) of three pipes are 2, N a...

    Text Solution

    |

  17. If 6 BSF or 10 CRPF companies can demolish a terrorist outfit in Kashm...

    Text Solution

    |

  18. Three pumps working 8 hours a day can empty a tank in 2 day. How many ...

    Text Solution

    |

  19. A group of men deaded to do a job in 4 days. But since 20 men dropped ...

    Text Solution

    |

  20. The total number of men, women and children working in a factory is 18...

    Text Solution

    |