Question

Peggy filled her van's gas tank and noted that the odometer read 24,563.3. After the next fill-up. it read 24,937.8. It took 17.5 gal to fill the tank. How many miles per gallon did the van get? Enter your answer in the answer box.

Answer 1

The van gets;

`21.4\text{ miles per gallon}`

Step-by-step explanation:

Given that Peggy filled her van's gas tank and noted that the odometer read 24,563.3;

`d_1=24,563.3\text{ miles}`

After the next fill-up. it read 24,937.8;

`d_2=24,937.8\text{ miles}`

The change in distance travelled is;

`\begin{gathered} \Delta d=d_2-d_1 \\ \Delta d=24,937.8-24,563.3 \\ \Delta d=374.5\text{ miles} \end{gathered}`

The amount of fuel it took is;

`f=17.5\text{ gal}`

The measure of its miles per gallon is;

`\begin{gathered} r=(\Delta d)/(f) \\ r=(374.5)/(17.5) \\ r=21.4\text{ miles per gallon} \end{gathered}`

Therefore, the van gets;

`21.4\text{ miles per gallon}`