SOLUTION: A jogger leaves a given point on a fitness trail running at a rate of 4 miles per hour. Ten minutes later a second jogger leaves the same location running at 5 miles per hour. Ho

Question 348563: A jogger leaves a given point on a fitness trail running at a rate of 4 miles per hour. Ten minutes later a second jogger leaves the same location running at 5 miles per hour. How long will it take the second jogger to overtake the first and how far will they both have traveled at that point?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Jogger A 4 mph
Jogger B 5 mph
..
difference in speed = 1mph.
Jogger A leaves 10 minutes early = 1/6 hour
in1/6 hour he goes 1/6 * 4 = 2/3 miles.
Jogger B catches up at the rate of 1 mph.
distance ahead = 2/3 miles
Time = 2/3 / 1
= 2/3 hours = 40 minutes
...
2/3 * 5 = 10/3 miles = 3.33 miles .from start
..

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