Rate Problem

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Rate Problem

by thedude232 » Wed Dec 29, 2010 5:17 pm
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 hrs 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


The correct answer if "e". I understand how that answer was derived, but why is "d" wrong? Thanks!
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by anshumishra » Wed Dec 29, 2010 5:28 pm
thedude232 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 hrs 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


The correct answer if "e". I understand how that answer was derived, but why is "d" wrong? Thanks!
Full tank = 12 gallon
Gasoline spent = 50*5/30 gallons

So, the fraction = 250/(30*12) = 25/36.

Hence answer is E.

Why do you think "d" should be the answer (D would have been if the fraction was 24/36 = 2/3) ?
Thanks
Anshu

(Every mistake is a lesson learned )