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A certain car averages 25 miles per gallon of gasoline when

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A certain car averages 25 miles per gallon of gasoline when [#permalink] New post 27 Feb 2008, 09:20
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?

28 30 33 36 38
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Re: rate/work [#permalink] New post 27 Feb 2008, 09:33
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?

Gas required to drive 10 miles in city = 10/25 =0.4G

Gas required to drive 50 miles on the highway=50/40=1.25G

total Gas required to drive to 60 miles =1.65G

miles per Gallon =60/1.65 =36.36

thus D
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Re: rate/work [#permalink] New post 27 Feb 2008, 18:19
prasannar wrote:
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?

Gas required to drive 10 miles in city = 10/25 =0.4G

Gas required to drive 50 miles on the highway=50/40=1.25G

total Gas required to drive to 60 miles =1.65G

miles per Gallon =60/1.65 =36.36

thus D


pras,
thogh your approach seems convincing, can u tell the flaw in my approach:

25 (1/6) + 40 (5/6)
( 1/6th of the time driven in the city and 5/6th of the time driven on highway)
I am getting 37.5 :roll:

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Re: rate/work [#permalink] New post 27 Feb 2008, 19:13
vscid wrote:
prasannar wrote:
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?

Gas required to drive 10 miles in city = 10/25 =0.4G

Gas required to drive 50 miles on the highway=50/40=1.25G

total Gas required to drive to 60 miles =1.65G

miles per Gallon =60/1.65 =36.36

thus D


pras,
thogh your approach seems convincing, can u tell the flaw in my approach:

25 (1/6) + 40 (5/6)
( 1/6th of the time driven in the city and 5/6th of the time driven on highway)
I am getting 37.5 :roll:
vscid wrote:
prasannar wrote:
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?

Gas required to drive 10 miles in city = 10/25 =0.4G

Gas required to drive 50 miles on the highway=50/40=1.25G

total Gas required to drive to 60 miles =1.65G

miles per Gallon =60/1.65 =36.36

thus D


pras,
thogh your approach seems convincing, can u tell the flaw in my approach:

25 (1/6) + 40 (5/6)
( 1/6th of the time driven in the city and 5/6th of the time driven on highway)
I am getting 37.5 :roll:
vscid wrote:
prasannar wrote:
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?

Gas required to drive 10 miles in city = 10/25 =0.4G

Gas required to drive 50 miles on the highway=50/40=1.25G

total Gas required to drive to 60 miles =1.65G

miles per Gallon =60/1.65 =36.36

thus D


pras,
thogh your approach seems convincing, can u tell the flaw in my approach:

25 (1/6) + 40 (5/6)
( 1/6th of the time driven in the city and 5/6th of the time driven on highway)
I am getting 37.5 :roll:


The question is about miles per gallon. It is not about miles per time.
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Re: rate/work [#permalink] New post 27 Feb 2008, 19:32
City: 25 mpg Highway :40mpg


ans req. is : avg. mpg ( total dist.travelled / total gallons consumed for that dist.)
total dist.travelled= dist travelled in city + dist travelled on highway = 50+10 = 60 miles
mileage in city : for 25 miles he needs 1 gallon => for 10 miles he needs : 10 / 25 gallon
similarly on highway he needs: 50/40 gallon
total gallons consumed : 10 / 25 gallon + 50/40 gallon = x
total dist.travelled / total gallons consumed for that dist = 60 / x = 36. (something ) which is 36 approximately
Re: rate/work   [#permalink] 27 Feb 2008, 19:32
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