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

Answer :

Final answer:

The combined rate of Candy and Tim's paper route delivery is the sum of their individual rates. Therefore, when working together, they can complete the paper route in 40 minutes.

Explanation:

To solve this problem, we need to first understand the concept of rates. Candy delivers all papers in 70 minutes, which means her rate is 1 paper route per 70 minutes. In contrast, Tim's rate is slightly slower with 1 paper route per 80 minutes.

When they work together, their rates are added. That is, their combined rate is 1/70 + 1/80 paper routes per minute. Now we just need to find out how long it takes to do 1 paper route with this combined rate.

The combined rate is calculated as ((1/70) + (1/80)) = 0.025, to get the time, take the reciprocal of the combined rate (1 / 0.025) = 40 minutes. So when they work together, it would take them 40 minutes to deliver all the papers.

Learn more about Combined Rates here:

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