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Boat fuel use rate

This topic has 3 expert replies and 0 member replies
AbeNeedsAnswers Master | Next Rank: 500 Posts Default Avatar
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Boat fuel use rate

Post Sun Jul 02, 2017 11:16 am
Elapsed Time: 00:00
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    Experts

    The explanation in the OG seems a bit complex. Is there an easier way to solve this?

    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

    D

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    Post Sun Jul 02, 2017 11:24 am
    AbeNeedsAnswers wrote:
    Experts

    The explanation in the OG seems a bit complex. Is there an easier way to solve this?

    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

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

    Answer: D

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    Post Wed Jul 05, 2017 12:04 am
    AbeNeedsAnswers wrote:
    Experts

    The explanation in the OG seems a bit complex. Is there an easier way to solve this?

    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

    D
    So you need a faster approach. Smile

    Given:

    1. Speed = 32 miles per hour
    2. Rate of consumption of fuel = 24 gallons of fuel per hour

    To find out:

    Speed in miles per gallon

    We see that in the above expression, 'miles' is in the numerator, while 'gallon' is in the denominator.

    If we divide 'Speed' given in miles per hour by 'Rate of consumption of fuel', 'hour' gets canceled and we are left with 'miles per gallon, and this is what we want.'

    Thus, speed in miles per gallon = [32 miles/hour] ÷ [24 gallons/hour]

    => (32/24)*(miles/hour)*(hour/gallons)

    => 4/3 miles/gallons; 'hour' canceled.

    The correct answer: A

    Hope this helps!

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    GMAT/MBA Expert

    Post Wed Jul 05, 2017 12:38 am
    We want miles/gallons. We're told that miles = 32 and gallons = 24, so miles/gallons = 32/24 = 4/3.

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