SOLUTION: A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 3 hours, while the outlet pipe can empty it in 8 hours. How long will it take to fill the vat if

Question 473435: A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 3 hours, while the outlet pipe can empty it in 8 hours. How long will it take to fill the vat if both pipes are left open?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A winery has a vat with two pipes leading to it.
The inlet pipe can fill the vat in 3 hours, while the outlet pipe can empty it in 8 hours.
How long will it take to fill the vat if both pipes are left open?
:
let t = time required to fill the vat with both valves open
let the completed job = 1, (a full vat)
:
Fill is plus, empty is minus
:
- = 1
multiply by 24 to clear the denominators, result:
8t - 3t = 24
5t = 24
t =
t = 4.8 hrs to fill it with both valves open
:
:
Check
4.8/3 - 4.8/8 =
1.6 - .6 = 1; confirms our solution of t = 4.8
RELATED QUESTIONS
A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 3... (answered by richwmiller)

A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 3... (answered by ptaylor)

A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 3 (answered by ikleyn)

A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 3... (answered by ikleyn)

A winery has a vat with 2 pipes leading to it. The inlet pipe can fill the vat in 6... (answered by ankor@dixie-net.com)

Please help A winery has a vat with 2 pipes leading to it. The inlet pipe can fill the (answered by ankor@dixie-net.com)

A vat of chocolate can be filled by an inlet pipe in 12 hours. An outlet pipe can empty... (answered by ikleyn,ankor@dixie-net.com)

If a vat of acid can be filled by an inlet pipe in 10 hours and emptied by an outlet pipe (answered by Fombitz)

A winery has a barrel to hold chardonnay. An inlet pipe can fill the barrel in 6 hours,... (answered by stanbon)