On pipe P is 4 times faster than pipe Q and takes 45 minutes less than pipe Q In what time the ciste...........

Quant (SSC) Pipes&cistern

On pipe P is 4 times faster than pipe Q and takes 45 minutes less than pipe Q. In what time the cistern is full if both the pipes are opened together?

8 minutes

10 minutes

12 minutes

14 minutes

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Explanation:

Let P takes x minutes to fill the tank alone,
then Q will take 4x minutes to fill the tank,
4x – x = 45, x = 15
So P will take 15 minutes and Q will take 60 minutes to fill the tank.
Both will fill the tank in
(60*15)/(75) = 12 minutes