9. Hikers at the bottom of a canyon are facing towards the canyon wall 280.5 meters away. Given that the speed of sound in air is 340 m/s, how long after they shout will they hear their echo?

The time it takes for the hikers to hear their echo after they shout is 1.65 seconds

Explanation:

The given parameters are;

The distance from the canyon wall to the hikers = 280.5 meters

The speed of sound in air = 340 m/s

Therefore, we have;

Distance traveled by the sound of shouting = 280.5 meters

Distance traveled by the reflection (echo) of the sound of shouting = 280.5 meters

Total distance traveled by the sound to reach back to the hikers = 280.5 + 280.5 = 561 meters

Time, t, for the sound to reach the hikers = Distance traveled by the sound/(The speed of sound in air)

t = 561 m/(340 m/s) = 1.65 seconds.

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