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 December 1st, 2017, 11:25 AM #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 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.
 December 1st, 2017, 12:24 PM #2 Global Moderator   Joined: May 2007 Posts: 6,559 Thanks: 604 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, 09:42 AM #3 Newbie   Joined: Dec 2017 From: USA Posts: 6 Thanks: 0 got it thanks!
 January 22nd, 2018, 01:16 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 01:23 AM.

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