Carol and jan leave from the same place on the same road going the same direction. carol walks at a rate of 2 miles per hour. carol left 5 hours than jan, but jan bikes at a rate of 6 miles per hour. how far did they travel when jan cough up to carol?

Let, the time when Jan cough up to Carol = x

We know, Distance = Speed * Time.

So, Equation would be: 2x + 5*2 = 6x

2x + 10 = 6x

6x - 2x = 10

4x = 10

x = 10/4 = 2.5

Distance traveled in that time = 2.5 * 6 = 15 miles

In short, Your Answer would be: 15 miles

Hope this helps!