Three pipes A, B and C can fill a cistern in 8 minutes,12 minutes and 16 minutes respectively. What is the time taken by three pipes to fill the cistern when they are opened together?
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Three pipes A, B and C can fill a cistern in 8 minutes,12 minutes and 16 minutes respectively. What is the time taken by three pipes to fill the cistern when they are opened together?
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pipe B’s 1 minute work = 1/12
pipe C’s 1 minute work = 1/16
A+B+C’s 1 minute work = 1/8+1/12+1/16
= 13/48
Thus, time they take to finish it when they are opened together
= reciprocal
= 48/13
= 3 whole, 9/13 minutes is taken by them to fill up the cistern completely
Hope it helps ..