I fill the 42 L tank in my car and take a360 km trip.If my car consumes gasoline at a rate of 8L per 100km,how much farther can I go before I run of gasoline?

Respuesta :

Solution:

The car was filled with 42L of gasoline.

The car consumes at the rate of 8L per 100km.

[tex]\begin{gathered} \text{This means for every 100km covered, the car consumes 8L.} \\ \text{Hence,} \\ 8L=100\operatorname{km} \\ 1L=\frac{100}{8}km \\ \\ \text{Thus, 42L will cover the distance of;} \\ 42L=\frac{100}{8}\times42\operatorname{km} \\ 42L=525\operatorname{km} \\ \\ \text{Thus the 42L filled will be enough to cover 525km at the consumption rate of 8L per 100km.} \end{gathered}[/tex]

This means the 42L will be enough to cover the entire 360km.

Thus, you can go farther after the trip by;

[tex]525-360=165\operatorname{km}[/tex]

Therefore, you can go 165km farther after the trip of 360km with 42L gasoline in the tank.