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A certain truck traveling at 55 miles per hour gets 4.5 mile

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by BTGmoderatorDC » Mon Dec 16, 2019 6:58 pm
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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by Jay@ManhattanReview » Wed Dec 18, 2019 5:18 am
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
It's here: https://www.beatthegmat.com/ps-miles-t27084.html

Hope this helps!

-Jay
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by Scott@TargetTestPrep » Sat Dec 21, 2019 7:20 pm
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
We can let x = the distance traveled at 55 mph. We can create the equation:

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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