Scott drove 845 miles in 13 hours. At the same rate, how long would it take him to drive 715 miles?

Question

Solving a word problem on proportions using a unit rate

Answer 1

We can create a proportion to determine the unit rate:

845 miles = x miles

13 hours 1 hour

Divide 13 by 13 and 845 by 13 to find the unit rate:

845 /13 = 65 miles

13/13 = 1 hour

The unit rate is 65 miles

1 hour

Now use the unit rate to determine how long it will take to travel 715 miles:

65 miles = 715 miles

1 hour x hours

(You can multiply 65 by 11 to get 715 miles.)

65 miles * 11 = 715 miles

1 hour * 11 11 hours

It will take 11 hours to travel 715 miles.