Question

Taps X and Y can fill up an empty tank in 15 and 12 hours responsibility another tap that can empty the full tank in 8 hours if all the taps are turn on together at the some time in how many hours will be trunk we half full

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Answer 1

Answer:

4

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Answer 2

Answer:

tap X can filled up an empty tank in 15h

so in 1h tap X can filled 1/15 part of the tank

tap Y can filled up an empty tank in 12h

so in 1h tap Y can filled 1/12 part of the tank

tap Z can empty the tank in 8h

so in 1h tap Z can empty 1/8 part of the tank

All the tap working together

then

(1/15+1/12)-1/8

={(4+5)/60}-1/8

=9/60-1/8

=3/20-1/8

={(3×2)-5}/40

=(6-5)/40=1/40

so tank will full in 40h

so the tank will be half full in (1/2)×40=20h

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