Question 153958
Suppose you are chasing somone with a 10 mile head start, and that you are running at a rate that is two miles per hour faster than the person you are chasing. Also suppose that a hornet is flying back and forth between the two of you at a rate of 20 miles per hour. How far will the hornet fly (if the hornet could fly nonstop all that time) by the time you reached the other person?
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Each hour you will go as far as the lead person plus 2 miles.
So it will take you 5 hours to catch up to that person.
In 5 hours the hornet can fly 5*20 miles = 100 miles.
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Cheers,
Stan H.