SOLUTION: HElP! I cant figure this out. what equation do i use? 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 jo

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Question 258985: HElP! I cant figure this out. what equation do i use?
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 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 ½ hours.
How quickly can all three fill the pool together?
:
Let t = time required all working together
:
Change 1.5 hrs to 90 min
:
Let the completed job = 1 (full pool)
:
Each will do a fraction of the job, the three fractions add up to 1
:
t%2F30 + t%2F45 + t%2F90 = 1
Multiply equation by 90 to get rid of the denominators. results:
3t + 2t + t = 90
6t = 90
t = 90%2F6
t = 15 min all working together
:
:
Check solution on a calc
15/30 + 15/45 + 15/90
.5 + .333 + .167 = 1