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

Answer:

The van gets;

$21.4\text{ miles per gallon}$

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;

$\begin{gathered} r=\frac{\Delta d}{f} \\ r=\frac{374.5}{17.5} \\ r=21.4\text{ miles per gallon} \end{gathered}$

Therefore, the van gets;

$21.4\text{ miles per gallon}$