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 sec
B. 68 sec
C. 72 sec
D. 84 sec
E. 90 sec
Answer: Option C
Solution (By Examveda Team)
Distance mode by the skater in 44 sec= Circumference of the circle
= $$\left( {2 \times \frac{{22}}{7} \times 28} \right)$$ m
= 176 m
Speed of skater :
= $$\left( {\frac{{176}}{{44}}} \right)$$ m/sec
= 4 m/sec
Perimeter of hexagon :
= (6 × 48) m
= 288 m
∴ Required difference :
= $$\left( {\frac{{288}}{{4}}} \right)$$ sec
= 72 sec

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