SOLUTION: The hot water faucet takes 4 minutes to fill the tub, and the cold water faucet takes 3 minutes. How long will it take to fill the tub if both are used?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: The hot water faucet takes 4 minutes to fill the tub, and the cold water faucet takes 3 minutes. How long will it take to fill the tub if both are used?      Log On


   



Question 677610: The hot water faucet takes 4 minutes to fill the tub, and the cold water faucet takes 3 minutes. How long will it take to fill the tub if both are used?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The hot water faucet takes 4 minutes to fill the tub, and the cold water faucet takes 3 minutes. How long will it take to fill the tub if both are used?
----
hot water rate: 1/4 job/min
cold water rate: 1/3 job/min
together rate: 1/x job/min
-------
Equation:
1/4 + 1/3 = 1/x
-----
3x + 4x = 12
7x = 12
x = 12/7 hr = 1 min 42 sec(time to do the job together)
===============================
Cheers,
Stan H.