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Expert replies
by dferm » Tue Mar 25, 2008 7:49 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 @ 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

Please explain...thanks.
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Source: — Problem Solving |

by nimish_rulz » Tue Mar 25, 2008 8:13 am
Ok here we go---

The total distance traveled by the car in 5hrs = Speed *time= 50*5=250

now 250 miles is the total distance
Since the car uses 1 gallon for every 30 KMs
for 250 miles it will use

250/30 = 25/3 gallons

now the total fraction of original is (25/3)/12 = 25/36.
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by gmat765 » Wed Apr 16, 2008 6:41 pm
I also turned out to be 25/36
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by lunarpower » Wed Apr 16, 2008 11:53 pm
yeah.

make sure that you get good at division with fractions. in this problem, you have to divide 25/3 by 12. there are two ways to go about doing this:

(1) slow, but acceptable if you can do it quickly
write 12 as 12/1. then follow the reciprocal rule, whereby division by a fraction becomes multiplication by its reciprocal:
(25/3) x (1/12) = 25/36

(2) faster
just think about what division means: if you divide something by 12, then obviously it has to get smaller.
there are only two places you could put the '12' here: in the numerator or in the denominator. if it goes into the numerator, it makes the number bigger, which is bad; if it goes into the denominator, it makes the number smaller, which is good. therefore, the '12' gets multiplied into the denominator.
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