jmc

Question

On an indoor circular track of circumference 50 feet, Joneal starts at point

S

, runs in a counterclockwise direction, and then stops when he has run exactly one mile (5280 feet). On which quarter of the circle,

A

,

B

,

C

or

D

, did Joneal stop?

Accepted Answer

Since 5250 is divisible by 50, Joneal is back at point S after running 5250 feet. For the next 12.5 feet, he is on the portion of the track marked A. For the next 12.5 feet after that, he is on the portion of the track marked B. At this point he has traveled 5250+12.5+12.5=5275 feet. After traveling the final 5 feet, he is on the portion of the track marked C.