Respuesta :
48 minutes
1) We can solve this problem using a Linear System of Equations. Let's call walk "w" and bike by "b
2)So we can set the following system, considering the given data:
[tex]\mleft\{\begin{matrix}w+b=40 \\ 2b=32\end{matrix}\mright.[/tex]Thus, let's solve it by the Substitution Method. Let's solve the II equation for b:
[tex]\begin{gathered} 2b=32 \\ \frac{2b}{2}=\frac{32}{2} \\ b=16 \end{gathered}[/tex]2.2)We can plug that into the first equation and then find how long did it take to go walking to school:
[tex]\begin{gathered} w+b=40 \\ w+16=40 \\ w+16-16=40-16 \\ w=24 \end{gathered}[/tex]Notice that the question wants to know how long does it take to go to school walking home to school and back, so we can write out:
[tex]2w=2\cdot(24)=48[/tex]3) Hence, Ben would take 48 minutes to go walking home to school and back
