Races Question Answers

Races - Quant/Math - CAT 2008

Question 4 the day: February 19, 2003

The question for the day is from the topic of Races.

A skating champion moves along the circumference of a circle of radius 21 meters in 44 seconds. How many seconds will it take her to move along the perimeter of a hexagon of side 42 meters?

(1)	56				(2)	84
(3)	64				(4)	48

Correct Answer - (2)

---

Solution:


Circumference 2*22/7 r  =  2 * 22/7 *21

= 132 meters

Speed of the skater = Distance covered / Time taken

132/44=3 m/s

Perimeter of hexagon = 6a = 6 X 42

= 252m

Time taken to cover the perimeter of the hexagon = Distance (perimeter) / Speed

252/3=84Seconds