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A long distance runner start at the beginning of a trail and runs at a rate of 6 mph. Two hours later, a cyclist starts at the beginning
of the trail and travels at a rate of 16 mph. What is the amount of time that the cyclist travels before overtaking the runner?
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= = hours = 2 hours 12 minutes.
2*6 in the numerator is the distance (in miles) the runner was ahead the cyclist at the moment cyclist started his move.
16 - 6 = 10 mph is their relative speed.
For introductory lesson on Travel and Distance see
- Travel and Distance problems