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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, 13:46
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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) \(\frac{3}{2}\)
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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, 17:07
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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 15 Jun 2016, 00:46
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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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New post 15 Jun 2016, 02:59
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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, 11:05
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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, 06:54
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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) \(\frac{3}{2}\)


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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New post 23 Feb 2018, 12:17
mikemcgarry wrote:
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 :-)


hello there mikemcgarry, :) how are you ? :) you know what i dont understand, why isnt the answer B ? wouldnt it be logically correct to divide gallons by miles ? :?
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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 03 Apr 2018, 10:01
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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) \(\frac{3}{2}\)


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

Answer: D

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

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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 Apr 2018, 22:53
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) \(\frac{3}{2}\)


It's (D)

\(\frac{Miles - traveled}{gallon-fuel}\) = \(\frac{32}{24}\) = \(\frac{4}{3}\)
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Re: When traveling at a constant speed of 32 miles per hour, a certain mot  [#permalink]

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New post 25 Jan 2019, 18:10
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mikemcgarry wrote:
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 :-)



Was checking through the solutions to see other solutions to this problem, isn't the units in red suppose to be in "hours", instead of gallons?
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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 11 May 2019, 05:59
Speed of boat 32M/H and its consumption is 24 Gallon per hour.

Therefore boat consumes 24Gallon for every 32 Miles.
or for every Gallaon boat travels 32/24 miles
i.e 4/3 miles per gallon

AnsD
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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 11 May 2019, 22:55
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) \(\frac{3}{2}\)


In 24 gallons boat travel =36
In 1 " " " =36/24=4/3


Answer is D

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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 23 Nov 2019, 14:45
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The part "What is the fuel consumption of this boat at this speed measured in miles traveled per gallon of fuel?" is a bit confusing to me. As it begins with "What is the fuel consumption", I translate into 24/32, which is wrong.

Any one can help explain the wording of "What is the fuel consumption of this boat at this speed measured in miles traveled per gallon of fuel?", pls.

Much thank
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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 23 Nov 2019, 19:00
very nice information you share with us. thanks for this.
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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 23 Nov 2019, 22:16
Tracy95 wrote:
The part "What is the fuel consumption of this boat at this speed measured in miles traveled per gallon of fuel?" is a bit confusing to me. As it begins with "What is the fuel consumption", I translate into 24/32, which is wrong.

Any one can help explain the wording of "What is the fuel consumption of this boat at this speed measured in miles traveled per gallon of fuel?", pls.

Much thank


When you translate that above statement into math, you're trying to find out \(\frac{Miles}{Gallon}\), or miles per gallon

Information that is from the stem:
32 miles per hour = \(\frac{Miles}{Hour}\)
Certain motorboat consumes 24 gallons of fuel per hour = \(\frac{Gallons}{Hour}\)

In order to get miles per gallon, you have to divide (Miles Per Hour) by (Gallons Per Hour), that way the "hours" cancel out
32 (miles/hour) / 24 (Gallon/Hour) = 4/3 miles per gallon
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Re: When traveling at a constant speed of 32 miles per hour, a certain mot   [#permalink] 23 Nov 2019, 22:16
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