SOLUTION: Left on together, the cold and hot water faucets of a certain bathtub take 6 minutes to fill the tub. If it takes the hot water faucet 15 minutes to fill the tub by itself, how lo

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Left on together, the cold and hot water faucets of a certain bathtub take 6 minutes to fill the tub. If it takes the hot water faucet 15 minutes to fill the tub by itself, how lo      Log On


   

Question 814324: Left on together, the cold and hot water faucets of a certain bathtub take 6 minutes to fill the tub. If it takes the hot water faucet 15 minutes to fill the tub by itself, how long will it take the cold water faucet to fill the tub on its own?
Do not do any rounding.
Found 2 solutions by josgarithmetic, richwmiller:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
The rates of both faucets open together are additive.
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1%2F15%2Bc=1%2F6 where c is the fill rate for the COLD water faucet in tubs per minute. Solve for c, and then find the reciprocal; which would then be in unit of MINUTES per TUB.

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
6/15+6/x=1
6/x=9/15
2/x=3/15
1/x=3/30
1/x=1/10
x=10