One fill pipe A is 3 times faster than second fill pipe B and takes 32 minutes less than the fill pi...........

Quant (SSC) Pipes&cistern

One fill pipe A is 3 times faster than second fill pipe B and takes 32 minutes less than the fill pipe B. When will the cistern be full if both pipes are opened together?

6 min

8 min

12 min

10 min

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Explanation:

Let pipe A takes p min to fill
Then,
pipe B takes 3p min to fill
=> 3p - p = 32
=> p = 16 min => 3p = 48 min
Required, both pipes to fill = (48 x 16)/(48 + 16) min = 12 min.