Question

The table above shows the number of gallons of fuel used by two drivers, Mark and Daniel, during two differentcar trips on the same hiahwav. If the two drivers have the same model cars that get the same miles per galloron the highway, then, to the nearest mile, m, now many miles was Daniel's trip?

Answer 1

If the two cars get the same mile per gallon, the proportion "distance travelled / gallons used" has to be constant for any driver.

Then, we can write this proportion for the two drivers.

We get:

$\frac{286}{13}=\frac{m}{11}$

Then, we can solve for m as:

$\begin{gathered} 286\cdot11=m\cdot13 \\ m=\frac{3146}{13} \\ m=242 \end{gathered}$

Answer: Daniel's trip was m = 242 miles.