SOLUTION: A large pump takes only 6 hours to fill a pool while a smaller pump takes 9 hours by itself to fill the same pool. How long will it take to fill the pool if both pumps work togethe

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Question 904086: A large pump takes only 6 hours to fill a pool while a smaller pump takes 9 hours by itself to fill the same pool. How long will it take to fill the pool if both pumps work together?
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
a=6
b=9
1/a+1/b=1/x
1/6+1/9=1/x
1/6+1/9=1/3.6
1/x=1/3.6
x=3.6 hours working together
check
1/a+1/b=1/x
1/6+1/9=1/x
9/54+6/54=1/x
15/54=1/x
54/15=x
x=3.6 hours working together
ok

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