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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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14 Jun 2016, 13:46
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79% (00:53) correct 21% (00:58) wrong based on 1288 sessions

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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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14 Jun 2016, 17:07
6
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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15 Jun 2016, 00:46
1
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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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 $$\frac{miles}{gallons}$$

$$\frac{32}{24}$$ =$$\frac{4}{3}$$ $$\frac{miles}{gallons}$$

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

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13 Aug 2016, 11:05
1
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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02 Dec 2016, 06:54
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.

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

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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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03 Apr 2018, 10:01
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Top Contributor
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

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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05 Apr 2018, 03:43
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Re: When traveling at a constant speed of 32 miles per hour, a certain mot  [#permalink]

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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 &nbs [#permalink] 14 Apr 2018, 22:53
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