SOLUTION: alright and the last one for tonight ! Jim can fill a pool carrying buckets of water in 30mins. Sue can do the same job in 45mins. Tony can do the same job in 1 1/2 hours. How

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Question 146208: alright and the last one for tonight !
Jim can fill a pool carrying buckets of water in 30mins. Sue can do the same job in 45mins. Tony can do the same job in 1 1/2 hours. How quickly can all three fill the pool together?
a.12 minutes
b.15 minutes
c.23minutes
d.28 minutes
e.21 minutes
thank you and good night!
Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!

OK, we'll deal in minutes
Let x=amount of time it takes all three working together to fill the pool
Jim fills at the rate of 1/30 pool per min
Sue fills at the rate of 1/45 pool per min
Tony fills at the rate of 1/90 pool per min
Together they fill at the rate of 1/30+1/45+1/90=
3/90 + 2/90 + 1/90=6/90 pool per min
So, our equation to solve is
(6/90)x=1(1 pool that is) multiply each side by 90
6x=90 divide each side by 6
x=15 min-------------------time it takes all three working together

Hope this helps---ptaylor