SOLUTION: One pump can fill a water cistern twice as fast as a second pump. Working together, the two pumps can fill the cistern in 5 hours. Find how long it takes each pump to fill the cist

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Question 730475: One pump can fill a water cistern twice as fast as a second pump. Working together, the two pumps can fill the cistern in 5 hours. Find how long it takes each pump to fill the cistern when working alone
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
One pump can fill a water cistern twice as fast as a second pump.
Working together, the two pumps can fill the cistern in 5 hours.
Find how long it takes each pump to fill the cistern when working alone
:
Let t = time required by one pump alone
then
2t = time required by the other pump
:
Let the completed job = 1 (a full cistern)
:
A typical shared work equation
Each will do a fraction of the work, the two fractions = 1
5%2Ft + 5%2F%282t%29 = 1
multiply by 2t, resulting in
2(5) + 5 = 2t
10 + 5 = 2t
t = 15/2
t = 7.5 hrs for one pump
you can find the time for the other pump