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

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
_________________

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

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

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

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

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

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
_________________

Answer: Option D

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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!