Question

Nate walks 25 meters in 13.7 seconds. If he walks at this same rate, which of the following is closest to the distance he will walk in 4 minutes? Show ALL work.

A) 150 meters
B) 450 meters
C) 700 meters
D) 1,400 meters

Answer 1

Answer: B) 450 meters

Explanation:

Given : Nate walks 25 meters in 13.7 seconds.

Since he walks at this same rate , it means the distance and time are proportional.

Let d be be the distance covered in 4 minutes.

Also, 1 minute = 60 seconds.

Then
`\text{4 minutes}=4*60=240\text {seconds}`

According to the given information, we have the following equation :-

`(d)/(240)=(25)/(13.7)\\\\\Rightarrow\ d=(25*240)/(13.7)\\\\\Rightarrow\ d=437.9562043`

From the given options, The value closest to
`d=437.9562043` is 450.

Thus , the closest to the distance he will walk in 4 minutes is 450 meters,