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

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When traveling at a constant speed of 32 miles per hour, a certain mot [#permalink]

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New post 14 Jun 2016, 12:46
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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) \(\frac{2}{3}\)

B) \(\frac{3}{4}\)

C) \(\frac{4}{5}\)

D) \(\frac{4}{3}\)

E) \(\frac{3}{2}\)
[Reveal] Spoiler: OA

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Re: When traveling at a constant speed of 32 miles per hour, a certain mot [#permalink]

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New post 14 Jun 2016, 16:07
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AbdurRakib 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) \(\frac{2}{3}\)
B) \(\frac{3}{4}\)
C) \(\frac{4}{5}\)
D) \(\frac{4}{3}\)
E) \(\frac{3}{2}\)

Dear AbdurRakib,
I'm happy to respond. :-)

We have 32 mi/gal, and 24 gal/hr, and we want mile/gal. We need to divide (mi/hr) by (gal/hr) to get (mi/gal). Thus

fuel consumption = (32 mi/gal)/(24 gal/hr) = 32/24 mi/gal

In that fraction, cancel the common factor of 8.

fuel consumption = (32 mi/gal)/(24 gal/hr) = 32/24 mi/gal = 4/3 mi/gal.

Does this make sense?
Mike :-)
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Re: When traveling at a constant speed of 32 miles per hour, a certain mot [#permalink]

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New post 14 Jun 2016, 23:46
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Distance travelled = 32 miles
Fel consumed = 24 gallons
So, 24 gallons lets motorboat travel 32 miles
So, miles traveled per gallon of fuel = 32/24 = 4/3

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Re: When traveling at a constant speed of 32 miles per hour, a certain mot [#permalink]

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In 1 hour the motorboat travels 32 miles
In travelling that 32 miles the motorboat uses 24 gallons of fuel in 1 hour

so basically we divide \(\frac{miles}{hr}\) by \(\frac{gallons}{hr}\) to get \(\frac{miles}{gallons}\)

\(\frac{32}{24}\) =\(\frac{4}{3}\) \(\frac{miles}{gallons}\)

Correct Answer - D

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Re: When traveling at a constant speed of 32 miles per hour, a certain mot [#permalink]

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New post 13 Aug 2016, 10:05
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One way to solve this:--
The speed is 32 miles / hour. The fuel consumption is 24 gallons / hour. So in every hour two things are happening:-
The boat has covered 32 miles
The boat has consumed 24 gallons
What is the miles /gallon --> 32/24 => 4/3miles/gal. The choice is D

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Re: When traveling at a constant speed of 32 miles per hour, a certain mot [#permalink]

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New post 02 Dec 2016, 05:54
AbdurRakib 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) \(\frac{2}{3}\)
B) \(\frac{3}{4}\)
C) \(\frac{4}{5}\)
D) \(\frac{4}{3}\)
E) \(\frac{3}{2}\)


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.

Answer: D
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Re: When traveling at a constant speed of 32 miles per hour, a certain mot [#permalink]

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