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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
A certain car averages 25 miles per gallon of gasoline when driven in
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09 Apr 2022, 02:50
09 Apr 2022, 02:50
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Question Stats:
30% (02:42) correct
70% (02:29) wrong based on 10 sessions
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A certain car averages 25 miles per gallon of gasoline when driven in the city and 40 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 car averages when it is driven 10 miles in the city and then 50 miles on the highway?
(A) 28
(B) 30
(C) 33
(D) 36
(E) 38
(A) 28
(B) 30
(C) 33
(D) 36
(E) 38
Re: A certain car averages 25 miles per gallon of gasoline when driven in
[#permalink]
09 Apr 2022, 04:58
09 Apr 2022, 04:58
1
For city,
car covers 25 miles in 1 gallon
To cover 10 miles it require 10/25 gallon = 2/5 gallon
For highway,
car covers 40 miles in 1 gallon
To cover 50 miles it require 50/40 gallon = 5/4 gallon
To cover total 60 miles (10+50) it require = 2/5 + 5/4 gallon = 33/20 gallon
It means, in 1 gallon it covers 60*20/33 miles = 400/11 = 36.36 miles
Hence, average is 36.36 miles per gallon
IMO D
car covers 25 miles in 1 gallon
To cover 10 miles it require 10/25 gallon = 2/5 gallon
For highway,
car covers 40 miles in 1 gallon
To cover 50 miles it require 50/40 gallon = 5/4 gallon
To cover total 60 miles (10+50) it require = 2/5 + 5/4 gallon = 33/20 gallon
It means, in 1 gallon it covers 60*20/33 miles = 400/11 = 36.36 miles
Hence, average is 36.36 miles per gallon
IMO D
Re: A certain car averages 25 miles per gallon of gasoline when driven in
[#permalink]
28 Apr 2022, 03:45
28 Apr 2022, 03:45
Is this a weighted average question?
GeminiHeat wrote:
A certain car averages 25 miles per gallon of gasoline when driven in the city and 40 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 car averages when it is driven 10 miles in the city and then 50 miles on the highway?
(A) 28
(B) 30
(C) 33
(D) 36
(E) 38
(A) 28
(B) 30
(C) 33
(D) 36
(E) 38
