Question

A vehicle uses 1 1/8 gallons of gasoline to travel 13 1/2 miles. At this rate, how many miles can the vehicle travel per gallon of gasoline?

Answer 1

The rate is 12 miles per gallon.

Explanation:

The vehicle uses 1 1/8 gallons of gasoline to travel 13 1/2 miles.

\implies 1\frac{1}{8}\text{ gallon of gasoline}=13\frac{1}{2}\text{ miles}

\frac{9}{8}\text{ gallon of gasoline}=\frac{27}{2}\text{ miles}

1 \text{ gallon of gasoline}= \frac{8\times 27}{9\times 2}\text{ miles}

1 \text{ gallon of gasoline}= \frac{216}{18}\text{ miles}

1 \text{ gallon of gasoline}= 12\text{ miles}

Hence, the vehicle can travel 12 miles with one gallon of gasoline,

⇒ The rate of travelling is 12 miles per gallon.