Question

Trina, James, and Michael are training for a 10-kilometer race. After 30 minutes of a training run, Michael lead the group, and James had run of Michael's distance. Trina had run the distance James ran. Which fraction of Michael's distance did Trina run?

Answer 1

Trina ran
`\frac13` of the distance ran by Micheal.

Explanation:

To find: Which fraction of Michael's distance did Trina run.

Solution:

Let the distance run by Michael be 'x'.

Now Given:

James had run 1/2 of Michael's distance

So we can say that;

Distance ran by James =
`\frac12}x`

Also Given:

Trina had run 2/3 the distance James ran.

So we can say that;

Distance ran by Trina is equal to
`\frac23` multiplied by distance ran by James.

framing in equation form we get;

Distance ran by Trina =
`\frac23*\frac12x =\frac13x`

Hence Trina ran
`\frac13` of the distance ran by Micheal.