SOLUTION: Candy and Tom share a paper route. It takes Candy 70 minutes to deliver all the papers, and it takes Tom 80 minutes. How long does it take when they work together?

Question 293069: Candy and Tom share a paper route. It takes Candy 70 minutes to deliver all the papers, and it takes Tom 80 minutes. How long does it take when they work together?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Candy and Tom share a paper route. It takes Candy 70 minutes to deliver all the papers, and it takes Tom 80 minutes. How long does it take when they work together?
.
Candy's rate:
1 route per 70 minutes
Tom's rate:
1 route per 80 minutes
.
Let x = time it takes if they work together
then
x(1/70 + 1/80) = 1
Multiplying both sides by 5600:
x(80 + 70) = 5600
x(150) = 5600
x = 5600/150
x = 37.33 minutes
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