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At a speed of 50 miles per hour, a certain car uses 1 gallon

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At a speed of 50 miles per hour, a certain car uses 1 gallon [#permalink]

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At a speed of 50 miles per hour, a certain car uses 1 gallon of gasoline every 30 miles. If the car starts with a full 12 gallon tank of gasoline and travels for 5 hours at 50 miles per hour, the amount of gasoline used would be what fraction of a full tank?

A. 3/25
B. 11/36
C. 7/12
D. 2/3
E. 25/36
[Reveal] Spoiler: OA

Last edited by Bunuel on 09 Feb 2012, 13:18, edited 2 times in total.
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Re: world problem [#permalink]

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At a speed of 50 miles per hour, a certain car uses 1 gallon of gasoline every 30 miles. If the car starts with a full 12 gallon tank of gasoline and travels for 5 hours at 50 miles per hour, the amount of gasoline used would be what fraction of a full tank?

A. 3/25
B. 11/36
C. 7/12
D. 2/3
E. 25/36

In 5 hours at 50 miles per hour car will travel 5*50=250 miles and thus will use 250/30=25/3 gallons of gasoline. Gasoline used/full tank equals to \(\frac{\frac{25}{3}}{12} =\frac{25}{36}\).

Answer: E.
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Re: world problem [#permalink]

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My approach:

\(? Gal=5 hours*\frac{50 miles}{1 hour}*\frac{1 Gal}{30 miles}=\frac{25}{3}\)

We write the above equation while we are saying this: How many Gallon we need for 5 hours, while we know that in every 1 hour we go 50 miles, and we know that for every 30 miles we consume 1 Gallon.


and the fraction of used to total:\(\frac{\frac{25}{3}}{12}=\frac{25}{36}\)

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Re: At a speed of 50 miles per hour, a certain car uses 1 gallon [#permalink]

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I did the problem differently. Is this a solid approach?


5 hours at 50 MPH, the car will travel 5*50=250 miles

Total capacity of the tank is 12 gallons. At 50 MPH, the car uses 30 miles per gallon.

30*12 = 360 gallons total

\(\frac{250 miles driven}{360 miles tank} = \frac{25}{36}\)

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Re: At a speed of 50 miles per hour, a certain car uses 1 gallon [#permalink]

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New post 22 Aug 2012, 00:13
bmwguy wrote:
I did the problem differently. Is this a solid approach?


5 hours at 50 MPH, the car will travel 5*50=250 miles

Total capacity of the tank is 12 gallons. At 50 MPH, the car uses 30 miles per gallon.

30*12 = 360 gallons total

\(\frac{250 miles driven}{360 miles tank} = \frac{25}{36}\)


The answer is correct but the reasoning is not.

We are told that the car uses 1 gallon of gasoline every 30 miles, so 12 gallons (full tank) of gasoline is enough to travel 12*30=360 miles. Since the car traveled only 250 miles, then it used 250/360=25/36 of full tank.

Hope it's clear.
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Re: At a speed of 50 miles per hour, a certain car uses 1 gallon [#permalink]

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5 hours of driving @ 50 miles an hour; 250 total miles
1 liter per 30 miles; 250/30 = 8 1/3
8 1/3 x 3 = 25
12 x 3 = 36

25/36. E.

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At a speed of 50 miles per hour, a certain car uses 1 gallon [#permalink]

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Gazoline used: 50*5 hrs=250
Can be used (full tank): 30*12=360
250/360=25/36
E

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Re: At a speed of 50 miles per hour, a certain car uses 1 gallon [#permalink]

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New post 12 Apr 2015, 03:34
kilukilam wrote:
At a speed of 50 miles per hour, a certain car uses 1 gallon of gasoline every 30 miles. If the car starts with a full 12 gallon tank of gasoline and travels for 5 hours at 50 miles per hour, the amount of gasoline used would be what fraction of a full tank?

A. 3/25
B. 11/36
C. 7/12
D. 2/3
E. 25/36


miles driven = 50*5
gasoline consumed= 250/30 = 25/3

gasoline used would be \(\frac{25}{3} * \frac{1}{12}\) of a full tank .

Answer E
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Re: At a speed of 50 miles per hour, a certain car uses 1 gallon [#permalink]

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kilukilam wrote:
At a speed of 50 miles per hour, a certain car uses 1 gallon of gasoline every 30 miles. If the car starts with a full 12 gallon tank of gasoline and travels for 5 hours at 50 miles per hour, the amount of gasoline used would be what fraction of a full tank?

A. 3/25
B. 11/36
C. 7/12
D. 2/3
E. 25/36


We are given that a certain car has a rate of 30 miles per gallon. We are next told that the car starts with a 12-gallon tank and travels for 5 hours at 50 miles per hour.

Since distance = rate x time, we know the car traveled 50 x 5 = 250 miles. We can use the car’s rate and distance traveled to determine how many gallons were used.

Gallons used = distance/rate

Gallons used = 250/30 = 25/3

Finally, we need to determine the amount of gasoline used as a fraction of a full 12-gallon tank.

(25/3)/12 = (25/3) x (1/12) = 25/36

Answer: E
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Re: At a speed of 50 miles per hour, a certain car uses 1 gallon [#permalink]

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