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by MTariq » Wed Mar 31, 2010 1:23 pm
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?
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Source: — Problem Solving |

by student22 » Wed Mar 31, 2010 5:13 pm
37...ish?


[10/60 * 25] + [50/60 * 40] = 37ish.

Basically you would use a weighted average for this problem.
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by ajith » Wed Mar 31, 2010 8:10 pm
MTariq 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?
Gasoline Required to run 10 miles in the city = 10/25 = 0.4
Gasoline Required to run 50 miles in the city = 50/40 = 1.25

Average = Total Distance traveled /Total Consumption = 55/1.65 = 550/16.5 = 1100/33 = 100/3 = 33.33
Always borrow money from a pessimist, he doesn't expect to be paid back.
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by pops » Wed Mar 31, 2010 10:06 pm
ajith wrote:
MTariq 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?
Gasoline Required to run 10 miles in the city = 10/25 = 0.4
Gasoline Required to run 50 miles in the city = 50/40 = 1.25

Average = Total Distance traveled /Total Consumption = 55/1.65 = 550/16.5 = 1100/33 = 100/3 = 33.33
It should be 60/1.65 (since distance traveled is 60) = 36.36
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by thephoenix » Wed Mar 31, 2010 10:08 pm
ajith wrote:
MTariq 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?
Gasoline Required to run 10 miles in the city = 10/25 = 0.4
Gasoline Required to run 50 miles in the city = 50/40 = 1.25

Average = Total Distance traveled /Total Consumption = 55/1.65 = 550/16.5 = 1100/33 = 100/3 = 33.33
total distance is 60
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by sanju09 » Thu Apr 01, 2010 12:13 am
MTariq 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?
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by MTariq » Thu Apr 01, 2010 4:17 am
Thank you everyone for helping!
This was pretty easy, but didn't click once in my head .. *sigh*
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