Subject: General Aptitude · Chapter: Area · Exam: 2011 · Marks: · Difficulty:
A skating champion moves along the circumference of a circle of radius 28 m in 44 sec. How many seconds will it take her to move along the perimeter of a hexagon of side 48 m?
(a)48
(b)68
(c)72
(d)84
(e)90
Answer
Answer (as printed): C
Explanation
Distance moved by the skater in 44 sec = Circumference of the circle $=\left(2 \times \frac{22}{7} \times 28\right) \mathrm{m}=176 \mathrm{m}$. Speed of skater $=\left(\frac{176}{44}\right) \mathrm{m} / \mathrm{sec}=4 \mathrm{m} / \mathrm{sec}$.Perimeter of hexagon $=(6 \times 48) \mathrm{m}=288 \mathrm{m}$. ∴ Required difference $=\left(\frac{288}{4}\right) \mathrm{sec}=72 \mathrm{sec}$.