AAPL wrote: When traveling at a constant speed of 32 miles per hour, a certain motorboat consumes 24 gallons of fuel per hour. What is the fuel consumption of this boat at this speed measured in miles traveled per gallon of fuel?

A. 2/3
B. 3/4
C. 4/5
D. 4/3
E. 3/2

\[\frac{{k\,\,\,miles}}{{1\,\,\,{\text{gallon}}}}\,\,\, = \,\,\,\,k\,\,\,\frac{{miles}}{{{\text{gallon}}}}\]

\[? = k\]

\[\frac{{32\,\,{\text{miles}}}}{{1\,\,\,{\text{h}}}}\,\,\,\,\, \to \,\,\,\,\,\,\frac{{{\text{24}}\,\,\,{\text{gallons}}}}{{1\,\,\,{\text{h}}}}\]

\[\left( {\frac{{32\,\,{\text{miles}}}}{{1\,\,\,{\text{h}}}}\,\,\begin{array}{*{20}{c}}
\nearrow \\
\nearrow
\end{array}} \right)\,\,\,\,\left( {\frac{{1\,\,{\text{h}}}}{{{\text{24}}\,\,\,{\text{gallons}}}}\,\,\begin{array}{*{20}{c}}
\nearrow \\
\nearrow
\end{array}} \right)\,\,\,\, = \,\,\,\frac{{32 \div \boxed8}}{{24 \div \boxed8}} = \frac{4}{3}\,\,\,\,\,\,\,\,\,\left[ {\frac{{{\text{miles}}}}{{{\text{gallon}}}}} \right]\]

Obs.: arrows indicate licit converters. (This is a nice example of UNITS CONTROL, one of the most powerful tools of our method.)

The above follows the notations and rationale taught in the GMATH method.

AAPL wrote:Official Guide

When traveling at a constant speed of 32 miles per hour, a certain motorboat consumes 24 gallons of fuel per hour. What is the fuel consumption of this boat at this speed measured in miles traveled per gallon of fuel?

A. 2/3
B. 3/4
C. 4/5
D. 4/3
E. 3/2

We are given that a motorboat has a rate of 24 gallons per hour while traveling at a speed of 32 miles per hour. We must determine the boat's fuel consumption measured in miles traveled per gallon of fuel.

Since the motorboat consumes 24 gallons when traveling 32 miles, the rate is 32/24 = 4/3 miles per gallon.

Answer: D