SOLUTION: Joe took 4 hours to fill the pool and Jim took 6 hours to fill the pool. If they filled the pool at the same time how long would it take them?

Question 541991: Joe took 4 hours to fill the pool and Jim took 6 hours to fill the pool. If they filled the pool at the same time how long would it take them?
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Joe took 4 hours to fill the pool and Jim took 6 hours to fill the pool. If they filled the pool at the same time how long would it take them?
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Joe rate: 1/4 job/hr
Jim rate: 1/6 job/hr
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Together rate: 1/x job/hr
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Equation:
rate + rate = together rate
1/4 + 1/6 = 1/x
3x + 2x = 12
5x = 12
x = 2.4 hrs (time to do the job together)
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Cheers,
Stan H.
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Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Add their rate of filling
Joe's rate: ( 1 pool ) / ( 4 hrs )
Jim's rate: { 1 pool ) / ( 6 hrs )
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Let = time in hours to fill pool with both filling

Multiply both sides by

Together they fill pool in 2 hrs and 24 min
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