Knewton Brutal Math Challenge - Week 4
by , Apr 7, 2010
Don't kid yourself: It's Wednesday. It's Brutal Math Day. The new shirts are here. First person who answers correctly with shown work wins.
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)?(A) 18(B) 36(C) 60(D) 96(E) 112