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At a speed of 50 miles per hour, a certain car uses 1 gallon
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Updated on: 09 Feb 2012, 14:18
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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
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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.
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Re: At a speed of 50 miles per hour, a certain car uses 1 gallon of
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23 Sep 2010, 14:39
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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At a speed of 50 miles per hour, a certain car uses 1 gallon of
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27 Jul 2010, 14:28
16. Distance/Rate Problems For more check below: ALL YOU NEED FOR QUANT ! ! !Ultimate GMAT Quantitative Megathread
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Re: At a speed of 50 miles per hour, a certain car uses 1 gallon of
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29 Dec 2010, 07:53
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
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
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22 Aug 2012, 00:23
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
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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
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27 Mar 2015, 07:56
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
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25 Oct 2016, 17:02
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 12gallon 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 12gallon 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 of
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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
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13 Aug 2018, 07:57
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/ 5Cross 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 Answer: E Cheers, Brent
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Re: At a speed of 50 mp/h, a certain car uses 1 gallon of
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