Kevin walked 3/4 of a mile in 12 minutes. assuming he walked at a constant speed the entire time, which expression can be used to determine the distance he walked each minute?

Question

asked Jun 17, 2018 164k views

2 Answers

Scott Bossak · Answer 1 · 2018-06-23T03:58:41+0000

Answer:

We know that Kevin moved at a constant speed, so his movement can be model by:

d=st

Where
is distance,
is speed and
is time.

So, we can find the speed first, to then find the expression of the distance at any time:

$s=(d)/(t)=((3)/(4)mi)/(12min)\\s=(3)/(48)mi/min\\s=(1mi)/(16min)$

The ratio of his movement is 1 miles each 16 minutes.

Then, the distance at any minute would be:

d=(1)/(16)t

This expression model the entire movement of Kevin, because it gives the distance he traveled at any minute.

For example, the first minute, Kevin covered a distance of:

d=(1)/(16)(1)=0.063 miles

So, we could say that he travels 0.063 miles per minute.