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PS: Miles Per Gallon

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PS: Miles Per Gallon [#permalink] New post 01 Feb 2007, 21:01
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Can anyone help with this one:

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 the closest to the number of miles per gallon that the car averages when it is driven 10 miles in the city and 50 miles on the highway?

A - 28
B - 30
C - 33
D - 36
E - 38

Answer is D. What are the steps to calculate this?
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 [#permalink] New post 01 Feb 2007, 21:14
Are you sure the answer is E I get the answer as 36...
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 [#permalink] New post 01 Feb 2007, 22:02
gasoline required for driving 10 miles in the city = (1/25)* 10
gasoline required for driving 50 miles on highway = (1/40)* 50
gasoline required for 60 miles driving = (1/25)* 10 + (1/40)* 50 = 165/100

mileage = 165/(100 *60) = 36



D
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 [#permalink] New post 02 Feb 2007, 14:33
V(city) = Vc = 25 mpg = 1/25 gallon per mile
V(highway) = Vh = 40 mpg = 1/40 gallon per mile

Car is driven 10 miles in the city.
10 mile x 1/25 gallon per mile = 10/25 = 2/5 gallon {Car uses gas 2/5 gallon to go 10 miles in the city}

Car is driven 50 miles on the highway
50 mile x 1/40 gallon per mile = 50/40 = 5/4 gallon {Car uses gas 5/4 gallon to go 50 mile on the highway}

V(average) = Total mileage/ total gas used
V(average) = 60 / (2/5 + 5/4) = 60 x 20/33 = 400/11 = 36.3636...

D is the answer.
  [#permalink] 02 Feb 2007, 14:33
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