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- Protege5 2003
After reading a post by -pixy- (and a followup PM from her) it finally dawned on me: when people are citing City/Highway usage they are stating time ratios but the relevant measure is distance. This makes perfect sense since we can easily recall how long we sat in the car during different parts of a trip, whereas we'd generally have to look at the odometer to see how far the car went during those times.
Example based on -pixy-'s commute:
mpg city = 22
mpg highway =32
time on highway = 30 min
time in city = 30 min
distance on highway = 30 miles
distance in city = 5 miles
Claimed driving mix: "50%/50%" (this is by time).
Claimed average mpg 30.
Hard to see how to average 22 and 32 with equal weighting to get 30. The
thing is, that's not how to do it, this is how to do it.
gallons in city = (miles in city)/(mpg in city) = 5/22
gallons on highway = (miles on highway)/(mpg on highway) = 30/32
total gallons = (gallons in city) + (gallons on highway) = (5/22) + (30/32) = 1.165 gallons
total miles = (miles in city) + (miles on highway) = 5 + 30 = 35
total mpg = (total miles)/(total gallons) = 35/1.165 = 30.0 mpg
And that corresponds very closely to the claimed mpg. This is because her driving mix by distance was actually 14%/86%. This calculation is still an approximation (since there aren't really just two speeds and corresponding mpg values), but the formula fits her commute data well. It also fits mine.
Anybody else want to plug in their numbers?
EDIT: uncolored -pixy-'s name by request.
EDIT2: oops, the first edit mangled the 1st line of this post.
Example based on -pixy-'s commute:
mpg city = 22
mpg highway =32
time on highway = 30 min
time in city = 30 min
distance on highway = 30 miles
distance in city = 5 miles
Claimed driving mix: "50%/50%" (this is by time).
Claimed average mpg 30.
Hard to see how to average 22 and 32 with equal weighting to get 30. The
thing is, that's not how to do it, this is how to do it.
gallons in city = (miles in city)/(mpg in city) = 5/22
gallons on highway = (miles on highway)/(mpg on highway) = 30/32
total gallons = (gallons in city) + (gallons on highway) = (5/22) + (30/32) = 1.165 gallons
total miles = (miles in city) + (miles on highway) = 5 + 30 = 35
total mpg = (total miles)/(total gallons) = 35/1.165 = 30.0 mpg
And that corresponds very closely to the claimed mpg. This is because her driving mix by distance was actually 14%/86%. This calculation is still an approximation (since there aren't really just two speeds and corresponding mpg values), but the formula fits her commute data well. It also fits mine.
Anybody else want to plug in their numbers?
EDIT: uncolored -pixy-'s name by request.
EDIT2: oops, the first edit mangled the 1st line of this post.
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