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

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)

Answer 2

19.45 km.

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}}* \frac{\text{1.60934 km}}{\text{mi}}* \frac{\text{0.264172 gal}}{\text{liter}}`

`\text{Mileage}=30.5*\text{1.60934 km}*\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}}* 1.5\text{ liters}`

`\text{Distance traveled in 1.5 liters}=1.5* \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.