A jogger leaves a point on a fitness trail running at a rate of 7 miles per hour. Five minutes later, a second jogger leaves from the same location running at 8 miles per hour. How long will it take the second jogger to overtake the first?\

Time taken is 0.5833 hours OR 35 minutes

Explanation:

In order to solve this equation we need to first find out how much distance the first jogger ran in the first five minutes. This is:

Distance of J1 = 7 * 5/60 = 0.5833 miles

The second jogger then leaves from the same location, and travels 0.5833 + (distance run by first jogger) to catch up.

We can write this as:

(Distance of J2) = 0.5833 + (Distance of J1)

Since distance = speed * time , we can write the above equation as follows:

(8 * time) = 0.5833 + (7 * time)

Solving for time we get:

Time = 0.5833 hours        (as velocity is in hours)

This is also equal to 35 minutes  

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