SOLUTION: A winery has a barrel to hold chardonnay. An inlet pipe can fill the barrel in 10 hours, while an outlet pipe can empty the barrel in 14 hours. How long will it take to fill the ba
Algebra.Com
Question 1019937: A winery has a barrel to hold chardonnay. An inlet pipe can fill the barrel in 10 hours, while an outlet pipe can empty the barrel in 14 hours. How long will it take to fill the barrel if both the inlet and outlet pipes are open? Express your answer as a fraction reduced to lowest terms, if needed.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A winery has a barrel to hold chardonnay. An inlet pipe can fill the barrel in 10 hours, while an outlet pipe can empty the barrel in 14 hours. How long will it take to fill the barrel if both the inlet and outlet pipes are open? Express your answer as a fraction reduced to lowest terms, if needed.
----------
Inlet pipe rate:: 1/10 job/hr
---
Outlet pipe rate:: 1/14 job/hr
---
Together rate:: 1/x job/hr
--------
Equation::
rate - rate = together rate
1/10 - 1/14 = 1/x
-------------------------
14x - 10x = 10*14
----
4x = 10*14
x = 35 hrs (time to fill together)
------------
Cheers,
Stan H.
----------
RELATED QUESTIONS
A winery has a barrel to hold chardonnay. An inlet pipe can fill the barrel in 6 hours,... (answered by stanbon)
a winery has a barrel to hold chardonnay. An inlet pipe can fill the barrel in 11 hours,... (answered by nerdybill)
Both inlet and outlet pipes to a cider barrel were mistakenly left open. Nevertheless,... (answered by ankor@dixie-net.com)
Could you help me with this work problem?
I keep getting a negative result...is that... (answered by mszlmb,jorel1380)
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 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 ankor@dixie-net.com)
A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 3... (answered by richwmiller)