SOLUTION: If a bathtub's hot water faucet can fill the tub in half an hour (independently), and the cold water faucet can fill the tub in an hour (independently), how quickly can both faucet

Question 934278: If a bathtub's hot water faucet can fill the tub in half an hour (independently), and the cold water faucet can fill the tub in an hour (independently), how quickly can both faucets fill the tub?

Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=amount of time it takes both faucets to fill the tub
Both faucets fill at the rate of 1/x tubs per hour
Hot water faucet fills at the rate of (1/0.5)=2 tubs per hour
Cold water faucet fills at the rate of 1 tub per hour
Our equation to solve is:
2+1=1/x
3x=1
x=1/3 hour
CK
(1/3)*2+(1/3)*1 should equal 1 tub filled
2/3+1/3=1
1=1
Hope this helps ---ptaylor
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