Respuesta :
hello
to solve this, we need to simply convert meters and seconds unit to miles and hour
1 mile = 1609.34meter
x mile = 100 m
cross multiply both sides
[tex]\begin{gathered} 1609.34\times x=1\times100 \\ 1609.34x=100 \\ \text{divide both sides by the coefficient of x} \\ \frac{1609.34x}{1609.34}=\frac{100}{1609.34} \\ x=0.062 \end{gathered}[/tex]now we can say the runner ran 0.062 miles in 10.49sec
we can proceed to convert the seconds unit to hour
60 seconds = 1 min
60 minutes = 1 hour
1 hour = 60 x 60 seconds
1 hour = 3600s
0.062miles in 10.49 sec
x miles in 3600s
[tex]\begin{gathered} 0.062=10.49 \\ x=3600 \\ \text{cross multiply both sides} \\ 10.49\times x=3600\times0.062 \\ 10.49x=223.2 \\ \text{divide both sides by the coefficient of x} \\ \frac{10.49x}{10.49}=\frac{223.2}{10.49} \\ x=21.277\approx21.28 \end{gathered}[/tex]at this pace, the runner ran 21.28 miles per hour
