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Pipes P and Q Can Fill a Tank in 5 and 6 H Respectively. Pipe R Can Empty It in 12 H. If All the Three Pipes Are Opened Together, Then the Tank Will Be Filled in : -

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Question

Pipes P and Q can fill a tank in 5 and 6 h respectively. Pipe R can empty it in 12 h. If all the three pipes are opened together, then the tank will be filled in :

Options

  • `4 5/13` h

  • `1 9/17` h

  • `3 5/13` h

  • `3 9/17` h

MCQ

Solution

`3 9/17` h
Explanation:

Net part fill in 1 h`[1/5+1/6-1/12]=17/60`

⇒ The tank will be full in `60/17 h   i.e.  3 9/17h`

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Time and Work (Entrance Exam)
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