Qus 18: A cistern can be filled by a tap in 4 hours and emptied by an outlet pipe in 6 hours. How long will it take to fill the cistern if both taps are opened together?
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Time taken by tap 1 to fill the cistern = 4h
work done in 1h = 1/4
time taken by tap 2 to fill the cistern = 3h
work done in 1 h = 1/3
one hour work of both taps = 1/4+1/3 =7/12
time taken by both taps to fill cistern =1÷7/12
=12/7 h
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