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 1/2 hours. How quickly can all three fill the pool

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 1/2 hours. How quickly can all three fill the pool      Log On


   



Question 207027: 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 1/2 hours. How quickly can all three fill the pool together?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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 1/2 hours.
How quickly can all three fill the pool together?
;
Let t = time (in minutes) required working together
:
let the completed job (full pool) = 1
t%2F30 + t%2F45 + t%2F90 = 1
Multiply equation by 90, results
3t + 2t + t = 90
:
6t = 90
t = 90%2F6
t = 15 min