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

Question

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) \(\frac{3}{2}\)

A)  \frac{2}{3}

B)  \frac{3}{4}

C)  \frac{4}{5}

D)  \frac{4}{3}

E)  \frac{3}{2}

mikemcgarry · Accepted Answer

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 :-)

BrentGMATPrepNow · Answer

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

sauravpaul · Answer

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

rhine29388 · Answer

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

ajdse22 · Answer

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

JeffTargetTestPrep · Answer

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

Tracy95 · Answer

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

GMATinsight · Answer

Answer: Option D

Video solution by  GMATinsight

https://www.youtube.com/watch?v=ZeUZrWWR1HE

avigutman · Answer

Video solution from Quant Reasoning: Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1 https://www.youtube.com/watch?v=rIincWilJW4

ArnauG · Answer

The boat travels at a constant speed of 32 miles per hour and consumes 24 gallons of fuel per hour. We want to find the fuel consumption of the boat in terms of miles traveled per gallon of fuel.

To do this, we can create a fraction by dividing the distance traveled (32 miles) by the amount of fuel consumed (24 gallons).

So, the fuel consumption can be expressed as 32 miles / 24 gallons.

To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 8.

32 miles / 24 gallons = (32 ÷ 8) miles / (24 ÷ 8) gallons

This simplifies to:

4 miles / 3 gallons

Therefore, the fuel consumption of this boat, measured in miles traveled per gallon of fuel, is 4/3 miles per gallon. I hope this explanation is clear!

rajdeep212003 · Answer

The problem shown asks for the boat’s fuel consumption in miles per gallon when traveling at 32 miles per hour and consuming 24 gallons of fuel per hour. To solve this, simply divide the speed (32 miles/hour) by the fuel consumption rate (24 gallons/hour), yielding 
32
24
=
4
3
24
32
 = 
3
4
 miles per gallon. Thus, the answer is 
4
3
3
4
 miles per gallon, which mathematically represents the distance the boat can travel per unit of fuel consumed at the given speed and rate.

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

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards