Question

If Roger ran 5 miles in 150 minutes, Ryan ran 10 miles in 300 miles, and Rick ran 5 miles in 2 and ½ hours, who had the best rate of running(fastest time)?

Answer 1

All three have same rate of running.

Explanation:

Given that:

Distance covered by Roger = 150 minutes

Time taken by Roger = 5 miles

Distance covered by Ryan = 300 minutes

Time taken by Ryan = 10 miles

Distance covered by Rick = 2
`(1)/(2)` hours

Time taken by Rick = 2 miles

To find:

Who has the fastest rate of running?

Solution:

First of all, we need to convert the time in hours and then we need to apply the formula for relation between Speed, time and distance.

Then we can compare the Speed.

60 minutes = 1 hour

150 minutes =
`(1)/(60) * 150 = 2.5\ hours`

300 minutes = 5 hours

Formula for Speed:

`Speed = (Distance)/(Time)`

Rate of running (speed) of Roger =
`(5)/(2.5)` = 2 miles/hr

Rate of running (speed) of Ryan =
`(10)/(5)` = 2 miles/hr

Rate of running (speed) of Rick =
`(5)/(2.5)` = 2 miles/hr

Therefore, All three have same rate of running.