1) 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?
Let pipe A takes x minutes to fill cistern
The, pipe B takes 3x minutes to fill the cistern
Given, A takes 32 minutes less than B
=> Time taken by pipe A - Time taken by pipe B = 32 minutes
=> 3x - x = 32 minutes
=> x = 16 mins
=> Time taken by pipe A to fill cistern = 16 mins
Time taken by pipe B to fill cistern= 3x = 3 * 16 = 48 mins
So Time taken by both the pipe to fill cistern
= (48 x 16) / (48 + 16) minutes
= 12 minutes
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