SOLUTION: Candy and Tim share a paper route. It takes Candy 30 min to deliver all the papers, and it takes Tim 90 min. How long does it take the two when they work together?

Question 154117: Candy and Tim share a paper route. It takes Candy 30 min to deliver all the papers, and it takes Tim 90 min. How long does it take the two when they work together?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!

Let x = amount of time it takes both working together to deliver all the papers
Candy delivers papers at the rate of 1/30 of the route per minute
Tim delivers papers at the rate of 1/90 of the route per min
Together, they deliver papers at the rate of 1/30 + 1/90=3/90 + 1/90=4/90 of the route per min. So, our equation to solve is:
(4/90)*x=1 (one paper route, that is, all the papers) multiply each by 90
4x=90 divide each side by 4
x=22.5 minutes-------------amount of time it takes both to deliver all the papers working together
CK
together they deliver at the rate of 1/22.5 of the route per min
4/90=1/22.5

Hope this helps---ptaylor

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