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

Respuesta :

Answer: B) 450 meters

Step-by-step 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 [tex]\text{4 minutes}=4\times60=240\text {seconds}[/tex]

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

[tex]\dfrac{d}{240}=\dfrac{25}{13.7}\\\\\Rightarrow\ d=\dfrac{25\times240}{13.7}\\\\\Rightarrow\ d=437.9562043[/tex]

From the given options, The value closest to [tex]d=437.9562043[/tex] is 450.

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