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A water filling Pipe P is 5 times faster than second Pipe Q. If P fills a cistern in 30 minutes. How long will it take to fill the tank, when both the pipes are kept in operation simultaneous?

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A water filling Pipe P is 5 times faster than second Pipe Q. If P fills a cistern in 30 minutes. How long will it take to fill the tank, when both the pipes are kept in operation simultaneous?
1). 27 min
2). 26 min
3). 28 min
4). 25 min


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1 answers

39 vote
Answered by on | Votes 39 |

Given,

⇒ P = 5Q

Pipe P 1 minute work = 1/30

Pipe Q’s 1 minute work = 1 /150 

If both pipes open,

Pipe (P + Q)’s 1 minute work = 1/30 + 1/150

= 6/150

= 1/25

∴ It will take 25 minute to fill the tank.
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