Problema Solution
a winery hasa a vat with two pipes leading to it. the inlet pipe can fill the vat in 5 hours while the outlet pipe can empty the vat in 8 hours. how long will intake to fill the vat if both pipes are left open?
Answer provided by our tutors
The rate of the inlet pipe is: 1/5 vat per hour
The rate of the outlet pipe is: 1/8 vat per hour
Let 'x' represent the time in hours that it takes to fill the vat if both pipes are left open. x>0
The rate when the both pipes are open is: 1/x vat per hour
1/5 + 1/8 = 1/x
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x = 40/13 hr
x = 3 1/13 hr
x = 3 hr 60/13 min
x = 3 hr 4.6 min
It will take 3 hours and 4.6 minutes to fill the vat when both pipes are open.