Question

An automobile that gets 40 mpg on a 200-mile trip uses what fraction of gasoline compared to an automobile that gets 20 mpg for the same trip?

a) 1/2 amount
b) 1 1/4 amount
c) 1 1/2 amount
d) 2 amount

Answer 1

The automobile with 40 mpg uses 5 gallons of gasoline, while the automobile with 20 mpg uses 10 gallons for the same 200-mile trip, which means the automobile with 40 mpg uses half the amount of gasoline as the 20 mpg automobile. correct option is a) 1/2 amount.

Step-by-step explanation:

The student's question is centered around comparing fuel consumption between two vehicles with different mileages on a fixed distance trip. The first step to answer the question is to determine how much gasoline each automobile would use for a 200-mile trip.

For the automobile with 40 mpg efficiency:

200 miles /
40 miles per gallon = 5 gallons of gasoline used.

For the automobile with 20 mpg efficiency:

200 miles /
20 miles per gallon = 10 gallons of gasoline used.

When comparing the two, the automobile with 40 mpg efficiency uses half of the gasoline compared to the one with 20 mpg efficiency for the same distance. Therefore, the answer to the student’s question is:
a) 1/2 amount, which is the correct option in the final answer.

Answer 2

a) 1/2 the amount.

Step-by-step explanation:

Efficient auto = (200 miles)/(40 miles/gal) = 5 gallons

Less efficient auto = (200 miles)/(20 miles/gal) = 10 gallons

(5 gal)/(10 gal) = 1/2