Bunuel wrote:

Tough and Tricky questions: Distance/Rate .

The figure below represents a track with identical semi-circular ends used for a 4-lap relay race involving two 4-person teams (where each team member runs one complete lap around the track). The table below shows the lap times for each runner on Team A and Team B. Assuming that each runner runs at a constant rate, Team A win the race by how many meters?

A. 40 meters

B. \((40 + 10\pi)\) meters

C. \((40 + 20\pi)\) meters

D. \((20 + 10\pi)\) meters

E. \((20 + 20\pi)\) meters

radius of the curved part (semi-circle) = 1/2(60) =30

thus perimeter of the track (120*2) + 2pi(30) = 240 + 60pi

now as per the chart, team A beats team b by 7 sec. obviously, the final lap is run by the last runner of team B which takes 42 seconds to run the complete track.

during these 7 secs, this last runner would have covered 7/42 = 1/6 of the lap.

thus Team A defeated team B by 1/6(240 + 60pi) = 40 + 10 pi

hence B