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

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Joined: 16 Apr 2010
Posts: 21
At a speed of 50 miles per hour, a certain car uses 1 gallon  [#permalink]

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Updated on: 09 Feb 2012, 14:18
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25% (medium)

Question Stats:

77% (01:57) correct 23% (02:19) wrong based on 1109 sessions

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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

Originally posted by kilukilam on 27 Jul 2010, 13:31.
Last edited by Bunuel on 09 Feb 2012, 14:18, edited 2 times in total.
Edited the question
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Re: At a speed of 50 miles per hour, a certain car uses 1 gallon of  [#permalink]

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23 Sep 2010, 14:39
17
12
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 $$\frac{(\frac{25}{3})}{12} =\frac{25}{36}$$.

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

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27 Jul 2010, 14:28
9
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Manager
Joined: 07 Oct 2010
Posts: 137
Re: At a speed of 50 miles per hour, a certain car uses 1 gallon of  [#permalink]

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29 Dec 2010, 07:53
2
In the given example SPEED is not mentioned with which the car traveled for 5 hrs with 12 gallons in the tank

Therefore, we have to assume that car traveled with the same speed

Now we can calculate distance traveled by the car in 5 hrs = D = S*t
= 50 * 5 = 250 miles

We know that car travels 30 miles in 1 gallon
Therefore gallons of fuel required for 250 miles = 25/3

Hence, fraction of fuel used = 25 /3*12 = 25 / 36

But according to me something is missed out in the question, because, mostly in GMAT answers are not awkward like this.
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28 Oct 2011, 16:12
1
1
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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22 Aug 2012, 00:23
1
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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22 Aug 2012, 01:13
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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27 Mar 2015, 07:56
1
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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Re: At a speed of 50 miles per hour, a certain car uses 1 gallon  [#permalink]

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25 Oct 2016, 17:02
2
1
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

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

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30 May 2017, 17:26
TomB 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

I am getting 2/3 .Please explain what am i missing?

1.In 5 hrs the car would have traveled 250 miles.
2. It would have used 250/30 gallons
3. The car started with full tank of 12 gallons
4. Gasoline used as a fraction of full tank is (250/30)/12=25/36
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Re: At a speed of 50 miles per hour, a certain car uses 1 gallon of  [#permalink]

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13 Aug 2018, 07:57
Top Contributor
TomB 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

At a speed of 50 miles per hour, a certain car uses 1 gallon of gasoline every 30 miles.
Time = distance/speed
So, time to travel 30 miles = 30/50 = 3/5 hours.
This means that the car uses 1 gallon for every 3/5 hours.

Let x = the number of gallons of gas used during the 5 hour trip.

We get the following equivalent ratios: 1/(3/5) = x/ 5
Cross multiply to get: 5 = (3/5)x
Multiply both sides by 5/3 to get: 25/3 = x
So, the car uses 25/3 gallons of gas

The amount of gasoline used would be what fraction of a full tank?
We get (25/3)/12, which equals 25/36

Cheers,
Brent
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Re: At a speed of 50 mp/h, a certain car uses 1 gallon of  [#permalink]

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23 Jul 2019, 06:49
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Re: At a speed of 50 mp/h, a certain car uses 1 gallon of   [#permalink] 23 Jul 2019, 06:49
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