SOLUTION: three pipes are used to fill a pool with water. individually they can fill the pool in 9 hours,6 hours,3 hours. how many minutes will it take to fill the pool if all three pipes ar

Algebra ->  Rate-of-work-word-problems -> SOLUTION: three pipes are used to fill a pool with water. individually they can fill the pool in 9 hours,6 hours,3 hours. how many minutes will it take to fill the pool if all three pipes ar      Log On


   



Question 892871: three pipes are used to fill a pool with water. individually they can fill the pool in 9 hours,6 hours,3 hours. how many minutes will it take to fill the pool if all three pipes are used simultaneously ?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
three pipes are used to fill a pool with water. individually they can fill the pool in 9 hours,6 hours,3 hours. how many minutes will it take to fill the pool if all three pipes are used simultaneously ?
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Rates::
slowest pipe:: 1/9 job/hr
median pipe::: 1/6 job/hr
fastest pipe:: 1/3 job/hr
together rate: 1/x job/hr
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Equation:
1/9 + 1/6 + 1/3 = 1/x
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2x + 3x + 6x = 18
11x = 18
x = 18/11 = 1 7/11 hrs. (time to fill the pool working together)
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Cheers,
Stan H.
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