A certain truck traveling at 55 miles per hour gets 4.5 miles per gallon of diesel fuel consumed. Traveling at 60 miles per hour, the truck gets only 3.5 miles per gallon. On a 500-mile trip, if the truck used a total of 120 gallons of diesel fuel and traveled part of the trip at 55 miles per hour and the rest at 60 miles per hour, how many miles did it travel at 55 miles per hour?
A. 140
B. 200
C. 250
D. 300
E. 360
OA E
Source: Official Guide
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A certain truck traveling at 55 miles per hour gets 4.5 mile
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BTGmoderatorDC
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Jay@ManhattanReview
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It's here: https://www.beatthegmat.com/ps-miles-t27084.htmlBTGmoderatorDC wrote:A certain truck traveling at 55 miles per hour gets 4.5 miles per gallon of diesel fuel consumed. Traveling at 60 miles per hour, the truck gets only 3.5 miles per gallon. On a 500-mile trip, if the truck used a total of 120 gallons of diesel fuel and traveled part of the trip at 55 miles per hour and the rest at 60 miles per hour, how many miles did it travel at 55 miles per hour?
A. 140
B. 200
C. 250
D. 300
E. 360
OA E
Source: Official Guide
Hope this helps!
-Jay
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Scott@TargetTestPrep
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We can let x = the distance traveled at 55 mph. We can create the equation:BTGmoderatorDC wrote:A certain truck traveling at 55 miles per hour gets 4.5 miles per gallon of diesel fuel consumed. Traveling at 60 miles per hour, the truck gets only 3.5 miles per gallon. On a 500-mile trip, if the truck used a total of 120 gallons of diesel fuel and traveled part of the trip at 55 miles per hour and the rest at 60 miles per hour, how many miles did it travel at 55 miles per hour?
A. 140
B. 200
C. 250
D. 300
E. 360
OA E
Source: Official Guide
120 = x/4.5 + (500 - x)/3.5
120 = 10x/45 + (5000 - 10x)/35
Multiplying by 315, we have:
37,800 = 70x + 9(5000 - 10x)
37,800 = 70x + 45,000 - 90x
37,800 = 45,000 - 20x
20x = 7200
x = 360
Answer: E
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