Answer:
The speed of the cars is [tex]32 \frac{km}{h}[/tex]
Step-by-step explanation:
First we must first have the clear concept that [tex]speed=\frac{distance}{time}[/tex] or [tex]s=\frac{d}{t}[/tex]
Our question is the speed of the cars then the variable to clear will be s.
Let's raise the equation for each car taking into account that we have the following data:
Car 1: [tex]s_{1}=s+1[/tex] , [tex]t_{1}=2[/tex] and [tex]d_{1}= d_{2}[/tex]
Car 1: [tex]s_{2}=s-10[/tex] , [tex]t_{2}=3[/tex] and [tex]d_{1}= d_{2}[/tex]
The two cars travel the same distance so we will raise the distance formula for each car and then match them.
Car 1
[tex]d_{1}=s_{1}*t_{1}[/tex]
[tex]d_{1}=(s+1)*2[/tex]
[tex]d_{1}=2s+2[/tex]
Car 2
[tex]d_{2}=s_{2}*t_{2}[/tex]
[tex]d_{2}=(s-10)*3[/tex]
[tex]d_{2}=3s.30[/tex]
[tex]d_{1}=d_{2}[/tex]
[tex]2s+2=3s-30[/tex]
[tex]2+30=3s-2s[/tex]
[tex]32=s[/tex]
The speed of the cars is 32 km/hr
