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Solving a word problem on proportions using a unit rate

Dante drove 871 miles in 13 hours.
At the same rate, how long would it take him to drive 603 miles?

2 Answers

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To solve this problem, we can use the unit rate of miles per hour that Dante drove.

The unit rate of miles per hour is:

871 miles ÷ 13 hours = 67 miles per hour

This means that Dante drove at a rate of 67 miles per hour.

To find out how long it would take him to drive 603 miles at the same rate, we can set up a proportion:

871 miles ÷ 13 hours = 603 miles ÷ x hours

We can cross-multiply to solve for x:

871x = 13 * 603

871x = 7,839

x = 9

Therefore, it would take Dante 9 hours to drive 603 miles at the same rate of 67 miles per hour.
User Feng Yuan
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It would take him 9 hours to drive 603 miles
User Pjulien
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