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
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-> 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
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Question 166862: 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 ptaylor(2198) (Show Source):
You can put this solution on YOUR website! Let's 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 =1/15 pool per min, so our equation to solve is:
(1/15)x=1 (1 pool that is) multiply each term by 15
x=15 min-------------------- time it takes all three working together
CK
Jim: (1/30)*15=1/2
Sue: (1/45)*15=1/3
Tony (1/90)*15=1/6
1/2 +1/3 +1/6 =3/6 + 2/6 + 1/6=6/6
1=1
