SOLUTION: Two pumps are used to fill a water storage tank at a resort. One pump can fill the tank by itself in 10 hours, and the other can fill it in 15 hours. How long will it take both pum

Question 286795: Two pumps are used to fill a water storage tank at a resort. One pump can fill the tank by itself in 10 hours, and the other can fill it in 15 hours. How long will it take both pumps operating to fill the tank
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=amount of time it takes both pumps working together to fill the tank
Then together the pumps fill at the rate of 1/x tank per hour
One pump fills at the rate of 1/10 tank per hour
The other fills at the rate of 1/15 tank per hour
Together they fill at the rate of 1/10+1/15 tank per hour, so:
1/10+1/15=1/x multiply each term by 30x
3x+2x=30
5x=30
x=6 hours-------amount of time it takes both pumps working together
CK
in 6 hours one pump fills (1/10)*6=6/10 of the tank
in 6 hours the other pump fills (1/15)*6=6/15 of the tank
6/10 + 6/15 should equal 1 (1 tank, that is)
18/30+12/30=30/30=1 tank
Hope this helps---ptaylor
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