Two pipes can fill a cistern in 10 hours and 8 hours respectively. A third pipe can empty it in 15 hours. How long willit take to fill the cistern, if all of them are opened together ?
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First tap can fill a cistern in 10 hours
Second tap can fill the cistern in 8 hours
Third tap can empty the cistern in 15 hours
∴ First tap’s 1 hour’s work = 1/10
Second tap’s 1 hour’s work = 1/8
And third tap’s 1 hour’s work = 1/15
If all of them are opened together, then
Their one hour’s work = 1/10 + 1/8 – 1/15
= (12 + 15 – 8)/120
= (27 – 8)/120
= 19/120
∴ They can fill the cistern in 120/90 hours
= 6.6/19 hours
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Answer:
6.3 hours
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