Question

One lap around a track is 1/4 of a mile. It takes Seth 1/30 of a hour to run one lap. What is Seth's unit rate per hour around the track?

Answer 1

Seth's unit rate per hour around the track is 7.5 miles per hour.

Explanation:

Step 1:

First, we convert the given fractions into decimals.

`(1)/(4)` of a mile = 0.25 of a mile = 0.25 miles.

Seth takes
`(1)/(30)` of an hour to run a lap.

To determine how many minutes it took Seth, we multiply the given fraction with the number of minutes in an hour i.e. 60 minutes.

`(1)/(30)` of an hour
`= (1)/(30) (60) = 2` minutes.

So it takes Seth 2 minutes to run a lap.

Step 2:

To determine Seth's unit rate per hour, we need to determine the distance that Seth runs in an hour at the same rate.

If he covers 0.25 miles in 2 minutes then we multiply that value by 30 to get the distance covered in an hour.

If 0.25 miles is covered in 2 minutes, then the distance covered in 1 hour
`= 0.25(30) = 7.5` miles.

So Seth's unit rate per hour around the track is 7.5 miles per hour.