Answer:
The time it takes for the hikers to hear their echo after they shout is 1.65 seconds
Step-by-step 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.