At a speed of 50 miles per hour, a certain car uses 1 gallon : PS Archive
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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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12 Nov 2006, 04:28
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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 50miles 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
Director
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12 Nov 2006, 06:14
I get E.

Distance travelled in 5 hours at 50 mi/ hour = 250 miles. Therefore the number of gallons of fuel used = 250/30 = 25/3.

=> the fraction of the full tank = (25/3)/12 = 25/36.
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12 Nov 2006, 07:38
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 50miles 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

1 gallon = 30 miles
1/3 gallon = 10 miles hence 2/3 gallon = 20 miles

50 miles = 1 + 2/3 gallons = 5/3 gallons

5/3 * 5 (5 hours at 50 miles per hour) = 25 / 3

Then 25/3 divided by 12 = ???? does not match an answer choice. Multiply the calculated answer by 3 to give 25/36 = E
Director
Joined: 05 Feb 2006
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12 Nov 2006, 09:21
hsampath wrote:
I get E.

Distance travelled in 5 hours at 50 mi/ hour = 250 miles. Therefore the number of gallons of fuel used = 250/30 = 25/3.

=> the fraction of the full tank = (25/3)/12 = 25/36.

It was a super easy question, i got the same numbers as you did, but did something wrong with calculations.... so silly of me....
12 Nov 2006, 09:21
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