Question

Ron walks 0.5 mile on a track in 10 minutes. Stevie walks 0.25 mile on the track in 6 minutes find the unit rate for each walker in miles per hour. Who is faster?

Answer 1

Ron's speed = 3 miles/hour

Stevie's speed = 2.5 miles/hour

On comparing we see Ron is walking faster than Stevie.

Explanation:

Given:

Ron takes 10 minutes to walk on a track to cover a distance of 0.5 miles

Stevie takes 6 minutes to walk on a track to cover a distance of 0.25 miles

To find their unit rates in mile per hour and choose the faster one.

Solution:

Unit rate in miles per hour signifies their speeds. Thus, we will find out their speeds.

Ron:

Distance= 0.5 miles

Time = 10 minutes =
`10\ min* (1\ hr)/(60\ min)=(1)/(6)` hours

Speed =
`(Distance)/(Time)=(0.5)/((1)/(6))=0.5*6=3\ miles/hour`

Stevie

Distance = 0.25 miles

Time = 6 minutes =
`6\ min* (1\ hr)/(60\ min)=(1)/(10)` hours

Speed =
`(Distance)/(Time)=(0.25)/((1)/(10))=0.25*10=2.5\ miles/hour`

Thus, we have

Ron's speed = 3 miles/hour

Stevie's speed = 2.5 miles/hour

On comparing we see Ron is walking faster than Stevie.