Question

John rides his bike to work each day. The distance between his house and his work is approximately 6.5 miles, and it takes him on average 45 minutes to get there on his bike. In order to compare the approximate speed of his bike to that of a car, he determines his average speed on the bike in miles per hour.

Which of the following values most likely represents the value John determined to be his speed on the bike in miles per hour?
A
9.0 mph

B
8.7 mph

C
8.66 mph

D
8.667 mph

Answer 1

D) 8.667 mph

Explanation:

Given: Distance= 6.5 miles

Times= 45 minutes

First, convert the time into hours as we need to find speed in the unit of mph.

We know, 1 hour= 60 minutes

∴ Time=
`(45)/(60) = 0.75\ h`

Now, find the speed of John´s bike

Speed=
`(distance)/(time)`

⇒ Speed=
`(6.5)/(0.75) = 8.667\ mph`

∴ Speed of John´s bike is 8.667 mph