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December 1st, 2017, 11:25 AM   #1
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Need help solving this work problem

I've been back & forth on trying to solve a rational equation for this work problem, but I'm having difficulty... thanks in advance!

Q: In a peach patch, Amanda can pick 60 quarts of peaches in 6-hours. Emily can pick 80 quarts of peaches in 8-hours. How long will it take them working together to pick 100 quarts of peaches?

Last edited by skipjack; December 1st, 2017 at 12:59 PM.
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December 1st, 2017, 12:24 PM   #2
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Each can pick 10 quarts per hour, so together they can pick 20 quarts per hour. I hope you can do the final step.
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December 5th, 2017, 09:42 AM   #3
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got it thanks!
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January 22nd, 2018, 01:16 AM   #4
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Amanda = 60/6 quarts/hour = 10/1 quarts/hour, 10 quarts per 1 hour
Emily = 80/8 quarts/hour = 10/1 quarts/hour
Amanda + Emily = 20/1 quarts/hour

One way to solve this problem is to flip a fraction and then multiply like so:
20/1 quarts/hour = 1/20 hour/quarts; 1 hour per 20 quarts, 1/20th hour per quart

100 quarts x 1/20 hours/quart; the unit of measure 'quarts' on the top and bottom cancel out
100 x 1/20 hours
100/20 hours
5 hours

Last edited by AngleWyrm2; January 22nd, 2018 at 01:23 AM.
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