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

Algebra ->  Rate-of-work-word-problems -> 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      Log On


   

Question 934258: 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?

Can you please show work?
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Sum of the rates is the combined fill rate of both faucets. TUB per HOUR units.

1%2F%281%2F2%29%2B1%2F1, rate of hot faucet plus rate of cold faucet.

2%2B1

3--------TUBS per HOUR



You want, how many hours per 1 tub, which means 3%2Atubs%2F%281%2Ahour%29 must be used as 1%2Ahour%2F%283%2Atubs%29

1%2F3 hour to fill 1 tub.
This is 20 minutes to fill 1 tub.