Math Question Help

Question

Sound travels about 750 miles per hour. If you stand in a canyon and sound a horn, you will hear an echo.

Suppose it takes about 4 seconds to hear the echo. How far away is the canyon wall, in feet?

 feet

Now let's generalize that result. Suppose it takes n seconds to hear the echo. How far away is the canyon wall, in terms of n?

Answer 1

750 miles per hour

=750/60 miles per minute

=750/3600 = 75/360= 25/120= 5/24 miles per second

in 4 seconds that's 20/24=5/6

divide by 2 as 5/6 is the distance to the canyon and back

5/6(2) = 5/12 mile

in general the distance is 5n/48 miles

for 4 seconds that's 5(4)/48 = 5/12 mile