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A winery has a vat with two pipes leading to it. the inlet pipe can fill the vat in 44 ?hours, while the outlet pipe can empty it in 77 hours. how long will it take to fill the vat if both pipes are left? open?

Respuesta :

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Rate of fill-up = 1/44 = 1/44 * 77/77 = 77/3388

Rate of emptying = 1/77 = 1/77 * 44/44 =44/3388

Combined Rate of Fill-up = 77/3388 - 44/3388 = 33/3388 = 3/308

Time for combined fill-up = 308/3 = 102.6667 hours = 102 hours and 40 minutes

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