Question

An automobile achieves a gas mileage of 30.5 mi/gal. how many kilometers can it travel on 1.5 l of gasoline?

Answer 1

Answer:

19.45 km.

Step-by-step explanation:

We have been given that an automobile achieves a gas mileage of 30.5 mi/gal. We are asked to find the mileage of automobile in km per liter.

We know that 1 mile equals 1.60934 km and 1 liter equals 0.264172 gallons.

$\text{Mileage}=\frac{\text{30.5 mi}}{\text{gal}}\times \frac{\text{1.60934 km}}{\text{mi}}\times \frac{\text{0.264172 gal}}{\text{liter}}$  

$\text{Mileage}=30.5\times\text{1.60934 km}\times\frac{\text{0.264172}}{\text{lilter}}$

$\text{Mileage}=\frac{\text{12.966848 km }}{\text{lilter}}$

$\text{Distance traveled in 1.5 liters}=\frac{\text{12.966848 km }}{\text{lilter}}\times 1.5\text{ liters}$

$\text{Distance traveled in 1.5 liters}=1.5\times \text{12.966848 km}$

$\text{Distance traveled in 1.5 liters}=\text{19.4502 km}$

$\text{Distance traveled in 1.5 liters}\approx \text{19.45 km}$

Therefore, automobile will travel approximately 19.45 km in 1.5 liter of gasoline.

Answer 2

Gas mileage = 30.5 mi/gal
Volume of gas = 1.5 l 

Note that 1 liter = 0.264172 gallons
Therefore
1.5 l = (1.5 l)*(0.264172 gal/l) = 0.3963 gal

Distance traveled is (Gas mileage, mi/gal)*(Gal of gas)
= (30.5)(0.3963) = 12.087 mi

Answer: 12 mi  (nearest integer)