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When traveling at a constant speed of 32 miles per hour, a

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When traveling at a constant speed of 32 miles per hour, a

by AAPL » Mon Aug 27, 2018 12:03 pm

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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

OA D
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by [email protected] » Mon Aug 27, 2018 6:09 pm
Hi All,

We're told that when traveling at a constant speed of 32 miles per HOUR, a certain motorboat consumes 24 gallons of fuel per HOUR. We're asked for the fuel consumption of this boat at this speed measured in miles traveled per gallon of fuel.

Sometimes the big 'step' you have to take with a given question is to reorganize the given information. Here, the question tells us:

Every HOUR, the boat travels 32 miles and consumes 24 gallons of gas. Since we're asked for miles traveled per gallon, it's easy to see that there are MORE miles traveled than gallons used, so the correct answer must be GREATER than 1. Eliminate Answers A, B and C. The ultimate math 'step' is really just to reduce the fraction 32/24... = 4/3

Final Answer: D

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by Brent@GMATPrepNow » Tue Aug 28, 2018 6:17 am
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

OA D
Let's see what happens after ONE HOUR of traveling.

In ONE hour, the boat will travel 32 miles and will use 24 gallons of fuel
So, the fuel consumption rate is 32 miles per 24 gallons
Or we can write: fuel consumption rate = 32/24 miles/gallon
32/24 = 4/3
So, the fuel consumption rate = 4/3 miles per gallon

So, 24 gallons lets the motorboat travel 32 miles
So, miles traveled per gallon of fuel = 32/24 = 4/3

Answer: D
Brent Hanneson - Creator of GMATPrepNow.com
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by fskilnik@GMATH » Tue Aug 28, 2018 10:10 am
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.
Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
English-speakers :: https://www.gmath.net
Portuguese-speakers :: https://www.gmath.com.br
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by Jeff@TargetTestPrep » Tue Sep 04, 2018 3:19 am
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

Jeffrey Miller
Head of GMAT Instruction
[email protected]

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