SOLUTION: A bathtub can be filled by the cold water faucet in 9 minutes and by the hot water faucet in 10 minutes. the drain can empty the tub in 5 minutes. can the tub be filled if both fau

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: A bathtub can be filled by the cold water faucet in 9 minutes and by the hot water faucet in 10 minutes. the drain can empty the tub in 5 minutes. can the tub be filled if both fau      Log On


   

Question 887206: A bathtub can be filled by the cold water faucet in 9 minutes and by the hot water faucet in 10 minutes. the drain can empty the tub in 5 minutes. can the tub be filled if both faucets and the drain are open?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Filling rates in units, TUBs per MINUTE:
Cold, 1%2F9
Hot, 1%2F10
Drain, -1%2F5

If the rate of all three together is positive, then the tub can be filled that way. Otherwise, the tub cannot be filled that way.

SUM THE RATES!

1%2F9%2B1%2F10%2B%28-1%2F5%29
?