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Sarah can type a report in 2 hours and Chad takes 5 hours. How long will it take the two of them typing together?

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Answer:

1 3/7 hours

Explanation:

Sarah finishes 1/2 the report in 1 hour; Chad finishes 1/5 of the report in 1 hour. So, in each hour, they finish ...

1/2 + 1/5 = 7/10

of the report.

It will take 1/(7/10) = 10/7 = 1 3/7 hours for them to finish the report together.

_____

As always, the applicable relation is ...

time = quantity/rate

time = 1 report/(7/10 report/hour) = 10/7 hours

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