Sophia and tyler are running around a 400-meter track. they start running from the same place, at the same time. sophia runs at a speed of 5 m/s and tyler runs at a speed of 4 m/s. how long will it take sophia to lap tyler?

fastly!
!

The answer is: There will take 400 seconds to Sophia to lap Tyler.

To solve this problem we need to write equations in function to Tyler's distance when Sophia laps him, so:

Let be "x" the position of Tyler when Sophia is 400 m ahead of him.

Let be "x+400" the position of Sophia when she laps Tyler

Also, we must remember that time is equal to:

So, the equation to calculate the position of the Tyler when Shopia laps him, can be written like this:

Then,

Therefore, the distance that Tyler's ridden when Sophia laps him is 1600m.

Let's calculate the time with the following formula:

If we want to prove that the result is ok, let's substitutite the same distance in the Sophia's distance equation:

Hence,

There will take 400 seconds to Sophia to lap Tyler.

Have a nice day!

sadsdda

step-by-step explanation:

x:       y:  

-1         4

0         4

1         6

2         18

3         20