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Please help me with this question

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Please help me with this question [#permalink] New post 15 Apr 2012, 16:33
I know this must be a low level question. But I'm getting the wrong answer. Can someone please help me out? I feel that I should have these questions down cold given that I've been studying for two months and my test day is in two weeks. Thanks in advance for the help!

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
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Re: Please help me with this question [#permalink] New post 15 Apr 2012, 16:45
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No. of gallons reqd. for city =10/25 gallon
No. of gallons reqd. for highway = 50/40 gallon

avg .number of miles per gallon = total distance travelled/total gasoline reqd
total distance travelled=10+50=60
total gasoline reqd= 10/25+50/40 = 0.4+1.25=1.65

avg .number of miles per gallon= 60/1.65 =400/11 = approximate 36 miles/gallon

ans:D
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Re: Please help me with this question [#permalink] New post 15 Apr 2012, 16:53
Thanks for the quick replies! GMATLA, that is the same way i was attacking the problem. However, 38 is the wrong answer. I spent about an hour trying to figure out why. Raingary, D is the correct answer. Thanks the great explanation! I should have turned to posting the question here sooner.
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Re: Please help me with this question [#permalink] New post 15 Apr 2012, 18:08
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jema08 wrote:
I know this must be a low level question. But I'm getting the wrong answer. Can someone please help me out? I feel that I should have these questions down cold given that I've been studying for two months and my test day is in two weeks. Thanks in advance for the help!

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


in city ;
25-> 1 gallon
10-> 10/25= 2/5 gallon

in highway;
40-> 1
50-> 5/4 gallon

total gallon= 2/5+ 5/4= 0.4+1.25= 1.65

hence 60/ 1.65 miles/ gallon = 36.36

Hence D
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Re: Please help me with this question [#permalink] New post 16 Apr 2012, 17:39
First you should know the formula for average speed , then Average Miles per gallon =total distance/fuel consumed to complete the trip

here the total distance (city + highway )is 10+50=60

with one gallon on fuel the car can travel 25 miles so for 10 miles the car can take 2/5th of fuel in city

like that with one gallon of fuel the car can travel 40 miles so for 50 miles the car can use or take 5/4th gallon of fuel on highways so u can set up the equation

avg = total/fuel consumed to travel total distance =10+50/2/5+5/4 =60/8+25/20=60/33/20 =60*20/33=36.3636.. so the avg = 36(rounded) miles per gallon.
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Re: Please help me with this question [#permalink] New post 18 Apr 2012, 05:45
Expert's post
jema08 wrote:
I know this must be a low level question. But I'm getting the wrong answer. Can someone please help me out? I feel that I should have these questions down cold given that I've been studying for two months and my test day is in two weeks. Thanks in advance for the help!

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


Check out some very similar questions that will help reinforce the concept:

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rate-problem-undersatnding-109083.html?hilit=average%20miles%20gallon
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Re: Please help me with this question   [#permalink] 18 Apr 2012, 05:45
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