we have
\(5 \frac{yards}{sec}\)
Step \(1\)
Convert \(5\) yards to miles
by proportion
\(\frac{1}{1,760} \frac{mile}{yards} =\frac{x}{5} \frac{mile}{yards}\\\\ x*1,760=5\\\\ x=\frac{5}{1,760}\ miles\)
Step \(2\)
Convert \(1\) second to hours
by proportion
\(\frac{1}{3,600} \frac{hour}{seconds} =\frac{x}{1} \frac{hour}{second}\\\\ x*3,600=1\\\\ x=\frac{1}{3,600}\ hours\)
Step \(3\)
Find the speed in miles per hour
we know that
\(speed=\frac{distance}{time}\\\\speed=\frac{(5/1,760)}{(1/3,600)}\\\\speed=\frac{5*3,600}{1,760}\\\\speed=10.23\frac{miles}{hour}\)
therefore
the answer is
\(10.23\frac{miles}{hour}\)
