SOLUTION: a bathtub can be filled by the cold water faucet in eight minutes and by the hot water faucet in 12 minutes. how long does it take to fill the tub if both faucets are open?

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Question 890207: a bathtub can be filled by the cold water faucet in eight minutes and by the hot water faucet in 12 minutes. how long does it take to fill the tub if both faucets are open?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
a bathtub can be filled by the cold water faucet in eight minutes and by the hot water faucet in 12 minutes. how long does it take to fill the tub if both faucets are open?
Let x = time (minutes) it takes for both
then
x(1/8 + 1/12) = 1
multiplying both sides by 24:
x(3 + 2) = 24
x(5) = 24
x = 24/5
x = 4.8 minutes