Chapter 15.3, Problem 22P

The average speed of a moving object during a period of time is the distance the object traveled divided by the length of the time period. For example, if you left on a trip at 1:00 P.M., arrived at 3:15 P.M. and drove 85 miles, then the average speed for your trip would be $85÷2.25\approx 37.8$ miles per hour.
a. Jane drives 100 miles from Philadelphia to New York with an average speed of 60 miles per hour. When she gets to New York, Jane turns around immediately and heads back to Philadelphia along the same route. Using this information, find several different possible average speeds for Jane’s entire trip from Philadelphia back to Philadelphia.
b. Ignoring practical issues, such as speed limits and howfast cars can go, would it be theoretically possible forJane to average 100 miles per hour for the whole tripfrom Philadelphia to New York and back that is describedin part (a)? If so, explain how; if not, explain why not.Yes, if she could go 300 mph.
c. Theoretically, what are the largest and smallest possibleaverage speeds for Jane’s entire trip from Philadelphiaback to Philadelphia that is described in part (a)? Explain