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 1/2 of Michael's distance. Trina had run 2/3 the distance James ran. Which fraction of Michael's distance did Trina run?

Answer 1

Trina ran 1/3 of Michael's distance.

Step-by-step explanation:

To find the fraction of Michael's distance that Trina ran, we first need to determine the distances run by each person. Given that James ran half of Michael's distance and Trina ran two-thirds of the distance James ran, we can calculate Trina's distance by multiplying James' distance by 2/3.

Let's assume that Michael ran 10 kilometers. James would then have run half of that distance, which is 5 kilometers. Trina's distance would be two-thirds of James' distance, which is (2/3) * 5 kilometers = 10/3 kilometers.

The fraction of Michael's distance that Trina ran can be calculated by dividing Trina's distance by Michael's distance: (10/3) kilometers / 10 kilometers = 1/3.

Answer 2

1/3

Step-by-step explanation:

1/2 James' fraction of Michael

2/3 Trina's fraction of James

1/2 x 2/3 = 1/3