Question

if one sprinter runs the 400.0 m in 58 seconds and another can run the same distance in 60.0 seconds, by how much distance will the faster person win by if they race?

Answer 1

Answer:

The faster person wins by 13.31 m.

Explanation:

Given that,

For first person,

Times $t_{1}=58\ sec$

Distance $d=400\ m$

For second person,

Time $t=60.0 sec$

We need to calculate the speed of each person

Using formula of speed

For first person,

$v=\dfrac{D}{t}$

$v=\dfrac{400}{58}$

$v=6.897\ m/s$

For second person,

$v=\dfrac{400}{60.0}$

$v=6.67\ m/s$

We need to calculate the distance covered by second person in 58 sec

$d=v\times t$

$d=6.667\times58$

$d=386.686\ m$

So, Person wins by the distance

$d=d_{A}-d_{B}$

$d=400.0-386.686=13.31\ m$

Hence, The faster person wins by 13.31 m.

Answer 2

This question deals with the simple concept of speed.

The faster person will win by the distance of "13.33 m".

First, we will calculate the speed of the slower person:

$v = \frac{distance}{time}\\\\v = \frac{400\ m}{60\ s}\\\\v = 6.67\ m/s$

Now, we calculate the distance covered by the slower person in 58 seconds:

$Distance = (v)(time)\\\\Distance = (6.67\ m/s)(58\ s)\\\\Distance = 386.67\ m$

Now, the distance by which the faster person wins will be the difference of the distances travelled by both persons in the given time.

$d = distance\ traveled\ by\ faster\ person - distance\ traveled\ by\ slower\ person$

d = 400 m - 386.67 m

d = 13.33 m

The attached picture illustrates the concept of speed and velocity.

Learn more about speed here:

https://brainly.com/question/17661499?referrer=searchResults