Two guns are fired from a fort after an interval of 15 mins. and a man running towards the fort hears the reports of the gun after an interval of 14 mins. Find the rate of progress, sound travelling at the rate of 300 meters per sec.
Explanation:
Let us consider the distance from the point where the person hears first shot till he hears the second shot.
This distance is covered by man in 15 mins while the same distance is covered by sound in (15 – 14 =) 1 min.
Distance traveled by sound in 1 min = 60 × 300 = 18000 meters.
So, man covers in 15 mins = 1800 m = 1.8 km
∴ In 1 hour distance covered by the man = 4 × 1.8 = 7.2 kms.
Hence, option (a).
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