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 i

Question

babunello [35]

3 years ago

11

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 i

t in 77 hours. how long will it take to fill the vat if both pipes are left? open?

Mathematics

1 answer:

lapo4ka [179] · Answer 1 · 2022-05-02T23:45:31+03:00

lapo4ka [179]3 years ago

4 0

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