A certain vehicle is undergoing performance adjustments during a set of three trials on an 8-mile track. The first time it travels around the track at a constant rate of p miles per minute, the second time at a constant rate of p^2 miles per minute, and the third time at a constant rate of p^3 miles per minute. If the vehicle takes the same time to travel the first 18 miles of these trials as it does to travel the last 8 miles, how many minutes does it take to complete all three trials (not counting any time between trials)?

Correct answer marked below

106

108

112

Correct

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What this question tests

Your application of distance = rate × time to trains, boats, and commuters, including relative speed.

Mixing units (miles per hour vs. minutes) or averaging speeds — average speed is total distance over total time.