A car travels a distance of 60 miles at an average speed of 30 mph. How fast would the car have to travel the same 60 mile distance home to average 60 mph over the entire trip?

Most people say 90 mph but this is actually a trick question!  The first leg of the trip covers 60 miles at an average speed of 30 mph.  So, this means the car traveled for 2 hours (60/30).  In order for the car to average 60 mph over 120 miles, it would have to travel for exactly 2 hours (120/60).  Since the car has already traveled for 2 hours, it is impossible for it to average 60 mph over the entire trip.