PLEASE SOLVE IT TODAY IS MY EXAM
Taps A, B and C fill a tank in 10 hours, 12 hours and 15 hours respectively. An outlet pipe can empty the tank in 5 hours. The three taps and the outlet are opened and are allowed to run for hours after which the outlet closed. How long will it take the three taps to fill the remaining tank?
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Work done by A in 1 hr = 1/10
Work done by B in 1 hr = 1/12
Work done by C in 1 hr =1/15
Work done by pipe in 1 hr = -1/5(empty the full tank)
Work done by ( A + B +C + pipe)
( 1/10 + 1/12 + 1/15 - 1/5)
( 6 + 5 + 4 - 12/60)
( 15 - 12/60 )
( 3/60) = 20 hours
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