SOLUTION: You are the parent of busy children and have a parent teacher conference in one hour; you know that it takes 10 minutes for the cold water to fill the tub and 12 minutes for the h

Algebra ->  Rate-of-work-word-problems -> SOLUTION: You are the parent of busy children and have a parent teacher conference in one hour; you know that it takes 10 minutes for the cold water to fill the tub and 12 minutes for the h      Log On


   



Question 289349: You are the parent of busy children and have a parent teacher conference in one hour; you know that it takes 10 minutes for the cold water to fill the tub and 12 minutes for the hot water to fill the tub. How long will it take to fill the tub if both faucets are open
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
x/10+x/12=1
12x+10x=120
22x=120
11x=60
x=60/11=5 5/11 minutes
5*60/11
300/11=27 second
5 minutes and 27 seconds together
check
60/11/10=6/11 for the cold water
60/11/12=5/11 for the hot water
6/11+5/11=1
ok