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Answer: 5/17 seconds or roughly .3 seconds
Explanation:
We will hear our echo once it has traversed the canyon to reach the end, bounce off, then return back to our ears.
To find how long it travels in one direction:
[tex]\frac{50m}{340 \frac{m}{s}} = \frac{5}{34} s[/tex] (or about .14 seconds)
For it to return back to us we double that time.
The time for it to reach our ears would be 5/17 seconds or roughly .3 seconds.