One tap can fill a cistern in 3 hours and the waste pipe can empty the full tank in 5 hours. In what time empty cistern be full, if the tap and the waste pipe kept open together
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One tap can fill a cistern in = 3 hours
Waste pipe can empty a cistern in = 5 hours
∴ One tap 1 hour work = 1/3
Waste pipe 1 hour work = 1/5
∴ One tap and waste pipe together 1 hour work
= 1/3 – 1/5 = (5 – 3)/15
= 2/15
∴ Empty cistern will be full in 15/2 hours
= 7. ½ hours
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