A cyclist travels up hill at an average speed of 8 mph then cycles back down 12 mph. If the trip takes 2.5 hours, what is the total distance the cyclist travels?

since total travel time is 2.5 hrs hence x/8 + x/12 =2.5

20x = 240

or x = 240/20 = 12 miles (one side travel)

therefore total distance traveled = 12 * 2 = 24 miles (Answer)

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