A pest control person uses a particular machine for his job. It moves along the circumference of a circular hall of radius 49 meters in 148 minutes to finish the pest control. How many minutes more will it take him to move along the perimeter of a hexagon of side 54 meters?
Explanation:
Circumference of circular hall = 2 × (22/7) × (49) = 308 m
∴ Speed of machine = (308/148) = (77/37) m/min
Perimeter of hexagon = 54 × 6 = 324 m
∴ Time taken to move along hexagon = (324) / (77/37)
= (324 × 37) / 77 = 155.69 minutes
∴ Extra time required = 155.69 − 148 = 7.69 minutes
Hence, option (a).
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