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

(A) 18

(B) 36

(C) 60

(D) 96

(E) 112