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December 1st, 2017, 12:25 PM  #1 
Newbie Joined: Dec 2017 From: USA Posts: 6 Thanks: 0  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 6hours. Emily can pick 80 quarts of peaches in 8hours. How long will it take them working together to pick 100 quarts of peaches? Last edited by skipjack; December 1st, 2017 at 01:59 PM. 
December 1st, 2017, 01:24 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,660 Thanks: 647 
Each can pick 10 quarts per hour, so together they can pick 20 quarts per hour. I hope you can do the final step.

December 5th, 2017, 10:42 AM  #3 
Newbie Joined: Dec 2017 From: USA Posts: 6 Thanks: 0 
got it thanks!

January 22nd, 2018, 02:16 AM  #4 
Newbie Joined: Jan 2018 From: Seattle, WA Posts: 20 Thanks: 6 
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 02:23 AM. 

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