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 12-gallon 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 12-gallon tank.
(25/3)/12 = (25/3) x (1/12) = 25/36
Answer: E
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