Question

Miles Tugo is camping in Glacier Canyon and he makes a loud holler. The sound bounces off the nearest canyon wall (which is located 170 meters away from Miles) and returns to Miles.
Determine the time elapsed between when Miles makes the holler and the echo is heard.

Answer 1

Answer:

It would take 1 s to hear the echo.

Explanation:

Here, the sound covered a total of 340 meters, since it bounces off the canyon wall and travels back to Miles in the form of echo.

The time elapsed can be determined by,

v = $\frac{2D}{t}$

⇒ t = $\frac{2D}{v}$

where: v is the speed of sound in air (343 m/s), D is the distance of the nearest canyon (170 m).

So that,

2D = 2 x 170 = 340 m

Thus,

t = $\frac{340}{343}$

 = 0.9913 s

t = 1 s

It takes 1s for Miles to hear his echo.