SOLUTION: Jim can fill a pool carrying bucks 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 tog

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Question 108159: Jim can fill a pool carrying bucks 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
1½ hours. How quickly can all three fill the pool together?
:
Let t = time required if they work together (in minutes)
Let 1 = the full pool
Convert 1.5 hrs to minutes: 90 min
A simple equation:
t/30 + t/45 + t/90 = 1
Multiply equation by 90, this get rid of the denominators;
You then have
3t + 2t + t = 90
6t = 90
t = 90/6
t = 15 minutes working together:
:
Check solution:
15/30 + 15/45 + 15/90 =
1/2 + 1/3 + 1/6 =
3/6 + 2/6 + 1/6 = 1