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03 Jan 2024, 07:45
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A
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Difficulty:
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Question Stats:
79% (02:12) correct
21%
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A certain truck averages 10 miles per gallon when driven in the city and 25 miles per gallon when driven on the highway. According to these rates, which of the following is closest to the number of miles per gallon that the truck averages when it is driven 20 miles in the city and 30 miles on the highway?
A. 16
B. 18
C. 20
D. 23
E. 25
2024-01-03_18-44-47.png [ 44.77 KiB | Viewed 13886 times ]
A. 16
B. 18
C. 20
D. 23
E. 25
Attachment:
2024-01-03_18-44-47.png [ 44.77 KiB | Viewed 13886 times ]
03 Jan 2024, 07:48
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03 Jan 2024, 07:59
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guddo
Truck averaging x miles per gallon means 1 gallon drives x miles.
We need the average miles per gallon (miles/gallon), which would be total miles driven divided by total gallons used.
Total miles driven: 20 (city) + 30 (highway) = 50 miles.
In the city, the truck uses 20 miles / 10 mpg = 2 gallons.
On the highway, it uses 30 miles / 25 mpg = 1.2 gallons.
Thus, average mpg is 50 miles/(2 gallons + 1.2 gallons) = 50/3.2 ≈ 15.something mpg.
Answer: A.
