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GMAT PREP PS question

by alex.gellatly » Mon Apr 16, 2012 12:11 am
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

Thanks in advanced
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by killer1387 » Mon Apr 16, 2012 12:17 am
alex.gellatly 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

Thanks in advanced
in 5 hrs distance travelled= 5* 50= 250 miles
now every 30 miles 1 gallon is used; hence no. of gallons used now = 250/30

required fraction = 250/(30*12)= 25/36

hence E
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by Anurag@Gurome » Mon Apr 16, 2012 2:53 am
alex.gellatly 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

Thanks in advanced
Distance = speed * time
Distance = 50 miles
Time = 5 hours
Distance traveled by car per hour = 5 * 50 = 250 miles
So, the care will use 250/30 = 25/3 gallons of gasoline.
Gasoline used/full tank = (25/3)/12 = [spoiler]25/36[/spoiler]

The correct answer is E.
Anurag Mairal, Ph.D., MBA
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