SOLUTION: At 2:00 p.m. a runner heads north on a highway jogging at 10 miles per hour. At 2:30 p.m. a driver heads north on the same highway to pick up the runner. If the car travels at 55 m

Question 263826: At 2:00 p.m. a runner heads north on a highway jogging at 10 miles per hour. At 2:30 p.m. a driver heads north on the same highway to pick up the runner. If the car travels at 55 miles per hour, how long will it take the driver to catch
the runner?
Answer by Greenfinch(383) (Show Source): You can put this solution on YOUR website!
When the car starts at 2:30, the jogger has been going for 30 minutes and has therefore gone 5 miles.
The difference is speeds is 55 - 10 = 45 mph, the question reduces to how long does it take a car going at 45 mph take to do 5 miles.
Answer is 5/45 = 1/9 hour or 6 2/3 minutes
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