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A hybrid vehicle uses 22 gallons of fuel to travel 8080 miles in the city, and 2.52.5 gallons of fuel to travel 120120 miles on the highway. A driver takes a trip that includes 4040 miles of city driving and 180180 miles of highway driving. What is the total number of gallons of fuel the vehicle is expected to use for the entire trip?

Cevap: 4.75 gallons

Cevap

4.75
The correct answer is 4.75 (or 19/4). The city fuel economy is 40 miles per gallon (80 miles / 2 gallons), and the highway fuel economy is 48 miles per gallon (120 miles / 2.5 gallons). For the city portion of 40 miles, the vehicle uses 1 gallon of fuel (40 miles / 40 mpg). For the highway portion of 180 miles, the vehicle uses 3.75 gallons of fuel (180 miles / 48 mpg). The total fuel used for the entire trip is 1 + 3.75 = 4.75 gallons.

Adım Adım Çözüm

1
Calculate the fuel economy rate in miles per gallon for city driving.
4040 miles per gallon
Divide 8080 miles by 22 gallons to find how many miles can be traveled per gallon of fuel in the city.
2
Calculate the fuel economy rate in miles per gallon for highway driving.
4848 miles per gallon
Divide 120120 miles by 2.52.5 gallons to find how many miles can be traveled per gallon of fuel on the highway.
3
Find the amount of fuel used for the city portion of the trip.
11 gallon
Divide the city distance of the trip (4040 miles) by the city fuel rate (4040 miles per gallon).
4
Find the amount of fuel used for the highway portion of the trip.
3.753.75 gallons
Divide the highway distance of the trip (180180 miles) by the highway fuel rate (4848 miles per gallon).
5
Calculate the total fuel used for the entire trip.
4.754.75 gallons
Sum the city fuel used (11 gallon) and the highway fuel used (3.753.75 gallons).

Anahtar Kavram

Calculating and applying distinct rates to different portions of a trip.
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Ratios, Rates, and Proportions

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