Yochanan walked from home to the bus stop at an average speed of \( 5 \mathrm{mph} \). He immediately got on his school bus and traveled at an average speed of 60 \( \mathrm{mph} \) until he got to school. The total distance from his home to school is 35 miles, and the entire trip took 1.5 hours. The following system of equations represents this:
\[
\begin{array}{l}
5 x+60 y=35 \\
x+y=1.5
\end{array}
\]
Yochanan walked how many miles?
Solution
Step 1 :Substitute the second equation into the first: 5(1.5-y)+60y=35