Question

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?

Answer 1

Both Country star ran the same distance.

Explanation:

Given:

Target to run by Billy =
`(3)/(4)`

Target to run by Ken =
`(1)/(2)`

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
`(1)/(3)` times of his Target.

framing in equation form we get;

Actual run by billy =
`(1)/(3)*(3)/(4)= (1)/(4)`

Also given

while Ken had finished 1/2 of his run.

It means that Ken has run
`(1)/(2)` times of his Target.

framing in equation form we get;

Actual run by Ken =
`(1)/(2)* (1)/(2) = (1)/(4)`

Hence Both Country star ran the same distance.