Joanne C. answered 05/17/23
Enthusiastic Math and Science Tutor with over 20+ years of experience
If you stand at a canyon and sound the horn, The sound would have to travel to the canyon wall and back for you to hear the echo. Therefore the 0.5 seconds of time represents the time it takes to travel twice the distance. So the time to go from where the sound was emitted to the wall would be 0.25 seconds.
So starting with that, we can then determine how far away the canyon wall is in feet.
Now we need to pay close attention to the units given. We are given the speed in miles per hour. So we will need to convert that feet per second using unit conversions.
distance = Rate X Time
distance = [(750 miles/hour) X (1 hour / 60seonds) X (5280feet/1mile)] X 0.25 seconds
distance = 16500 Feet away.