SOLUTION: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool t

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool t      Log On


   



Question 271610: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?

Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
We can set up the following equation:
(1/30)+(1/45)+(1/90)=1/x Multiply 90x to get:
3x+2x+x=90 Combine like terms:
6x=90 Divide each side by 6 to get:
x=15
There we go. 15 minutes. Working together pays off.
RJ
There's a book you might check out.
www.math-unlock.com