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?

A) 10 min. 20 sec. | B) 11 min. 45 sec. |

C) 12 min. 30 sec. | D) 14 min. 40 sec. |

Explanation:

Part filled in 4 minutes =

Remaining part =

Part filled by B in 1 minute =

The tank will be full in (4 min. + 10 min. + 40 sec.) = 14 min. 40 sec

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Subject: Pipes and Cistern - Quantitative Aptitude - Arithmetic Ability

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:

A) 10 | B) 12 |

C) 14 | D) 16 |

Explanation:

Part filled in 2 hours =

Remaining part =

(A + B)'s 7 hour's work =

(A + B)'s 1 hour's work =

C's 1 hour's work = { (A + B + C)'s 1 hour's work } - { (A + B)'s 1 hour's work }

=

C alone can fill the tank in 14 hours.

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Subject: Pipes and Cistern - Quantitative Aptitude - Arithmetic Ability

A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

A) 3 hrs 15 min | B) 3 hrs 45 min |

C) 4 hrs 15 min | D) 4 hrs 1 |

Explanation:

Time taken by one tap to fill **half of the tank** = 3 hrs.

Part filled by the four taps in 1 hour =

Remaining part =

So, total time taken = 3 hrs. 45 mins.

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Subject: Pipes and Cistern - Quantitative Aptitude - Arithmetic Ability

A booster pump can be used for filling as well as for emptying a tank. The capacity of the tank is 2400 . The emptying capacity of the tank is 10 per minute heigher than its filling capacity and the pump needs 8 minutes lesser to empty the tank than it needs to fill it. What is the filling capacity of the pump?

A) 50 m^3/min | B) 60 m^3/min |

C) 72 m^3/min | D) None of these |

Explanation:

Let the filling capacity of the pump be x /min.

Then, emptying capacity of the pump=(x+10) /min.

so,

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Subject: Pipes and Cistern - Quantitative Aptitude - Arithmetic Ability

A pump can fill a tank with water in 2 hours. Because of a leak, it took hours to fill the tank. The leak can drain all the water of the tank in:

A) 7 hours | B) 8 hours |

C) 12 hours | D) 14 hours |

Explanation:

Work done by the leak in 1 hour =

Leak will empty the tank in 14 hrs

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Subject: Pipes and Cistern - Quantitative Aptitude - Arithmetic Ability