Question 700794: a local dairy has three machines to fill half gallon milk cartons.The machine can fill the daily quota in 4 hours, 5 hours, and 8.5 hours, respectively. Find how long it takes to fill the daily quota if all three machines are running
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! a local dairy has three machines to fill half gallon milk cartons.The machine can fill the daily quota in 4 hours, 5 hours, and 8.5 hours, respectively. Find how long it takes to fill the daily quota if all three machines are running
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Let "x" be the time for all 3 to do the job.
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Rate Equation:
1/4 + 1/5 + 1/8.5 = 1/x
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1/4 + 1/5 + 2/17 = 1/x
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[17*5x + 17*4x + 2*4*5x] = 17*4*5
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85x + 68x + 40x = 17*20
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193x = 340
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x = 1.76 hrs = 1 hour 45 min 36 seconds
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Cheers,
Stan H.
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