Two hikers begin on opposite sides of a circular lake and walk around the lake in the same direction.One walks three times as fast as the other.The circumference of the lake is L.How far does the faster hiker walk before catching up to the slower one?
A)L/3
B)L/2
C)3L/4
D)L

Question

Quizplus · Accepted Answer

Since one hiker walks three times as fast as the other, they will catch up to each other at a rate of (3-1)=2 times the slower hiker's speed each lap. Therefore, the faster hiker will catch up to the slower hiker after completing 3/2 laps of the lake. 
Distance covered by the faster hiker = (3/2)L
Thus, the best choice is (C) 3L/4.

Two Hikers Begin on Opposite Sides of a Circular Lake