Billy and Ken, the school's cross-country stars, were each running at cross-country practice. Billy was going to run 3/4 of the training course, and Ken was going to run 1/2 of the course. However, during practice it started raining, so they could not finish their run. Billy had finished 1/3 of his run, while Ken had finished 1/2 of his run. Which cross-country star ran the furthest?

Respuesta :

Answer:

Both Country star ran the same distance.

Step-by-step explanation:

Given:

Target to run by Billy = [tex]\frac{3}{4}[/tex]

Target to run by Ken = [tex]\frac{1}{2}[/tex]

We need to find the which of the men run the furthest.

Solution:

Now given:

Billy had finished 1/3 of his run

It means that Billy has run [tex]\frac{1}{3}[/tex] times of his Target.

framing in equation form we get;

Actual run by billy = [tex]\frac{1}{3}\times\frac{3}{4}= \frac{1}{4}[/tex]

Also given

while Ken had finished 1/2 of his run.

It means that Ken has run [tex]\frac{1}{2}[/tex] times of his Target.

framing in equation form we get;

Actual run by Ken = [tex]\frac{1}{2}\times \frac{1}{2} = \frac{1}{4}[/tex]

Hence Both Country star ran the same distance.