SOLUTION: For a certain bathtub, it takes the cold water faucet
4
times as long to fill the tub as it does the hot water faucet. Left on together, the two faucets take
4
minutes to f
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-> SOLUTION: For a certain bathtub, it takes the cold water faucet
4
times as long to fill the tub as it does the hot water faucet. Left on together, the two faucets take
4
minutes to f
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Question 927674: For a certain bathtub, it takes the cold water faucet
4
times as long to fill the tub as it does the hot water faucet. Left on together, the two faucets take
4
minutes to fill the tub. How long will it take the cold water faucet to fill the tub by itself? Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! For a certain bathtub, it takes the cold water faucet 4 times as long to fill the tub as it does the hot water faucet. Left on together, the two faucets take 4 minutes to fill the tub. How long will it take the cold water faucet to fill the tub by itself?
.
Let x = time (minutes) it takes for hot water faucet
then
4x = time (minutes) for cold
.
4(1/x + 1/(4x)) = 1
multiply both sides by 4x:
4(4 + 1) = 4x
4(5) = 4x
20 = 4x
5 minutes = x (hot water)
.
Time it takes for cold water faucet to fill tub by itself:
4x = 4(5) = 20 minutes
