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Fast trick to solve the pipe and cisterns.

Pipe 'A' can fill a tank in 5 hr while pipe 'B' empties the full tank in 8 hr.if both the pipes operate simultaneously, in how much time will the tank be filled?

STEP 1 :

Pipe 'A' can fill the tank in 5 hr
then in 1 hr. = 1 / 5 part of tank

Pipe 'B' can empty a tank in 8 hr
then in 1 hr. = 1 / 8 part of tank

STEP 2 :

Both pipe operate in 1 hr = 1 / 5 - 1 / 8 part of tank

in 1 hr.= 8 - 5 / 40 part of tank

in 1 hr.= 3 / 40 part of tank

1 * 40/3= 1 part of tank

40/3 hr = 1 part of tank

Tank will be filled in 40/3 hr.

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