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