SOLUTION: Pump A can fill up an empty pool in 6 hours. Pump B can fill up the same empty pool in 12 hours. If the pool is already 1/3 full, how long will it take for both of the pumps workin

Question 497611: Pump A can fill up an empty pool in 6 hours. Pump B can fill up the same empty pool in 12 hours. If the pool is already 1/3 full, how long will it take for both of the pumps working together to fill up the remainder of the pool?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Pump A can fill up an empty pool in 6 hours.
Pump B can fill up the same empty pool in 12 hours.
If the pool is already 1/3 full, how long will it take for both of the pumps
working together to fill up the remainder of the pool?
:
Let t = time to complete filling the pool by both Pumps
Let a full pool = 1, then the amt remaining to be filled =
:
+ =
multiply equation by 12
12* + 12* = 12*
cancel the denominators and you have
2t + t = 4(2)
3t = 8
t =
t = 2 hrs to complete filling the pool by both pumps
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