A cistern has two taps which fill it in 12 min. and 15 min.respectively There

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A cistern has two taps which fill it in 12 min. and 15 min.respectively There is one outlet pipe in the cistern. When all the taps & pipe are opened, the empty cistern is full in 20 min. How long will the waste pipe (outlet) take to empty the full cistern ?

Options:

A . 10 min

B . 20 min

C . 30 min

D . 40 min

Answer: Option A
WORK DONE BY WASTE PIPE IN 1 MINUTE
=1/20−(1/12+1/15)=−1/10
WASTE PIPE WILL EMPTY THE FULL CISTERN IN 10 MINUTES.

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