Question for the GS math gurus

[Cuz]

You get a tune up on your truck. It cost $275. You went from getting 13.5mpg to getting 14.5mpg (+1 mpg). Gas is $3.25 a gallon.
How many miles does it take to pay for your $275 tuneup?

[Blake8504]

How many gallons is your tank?

[HillCoBowHunter]

1226.85 miles is how many miles you get out of your new mpg for $275... too pay it off.. a whole 'nother equation.

[lodgepole]

I am not a math guru but it seems to me like you are saving 1 gal/mile each gal is worth $3.25 therefore it would take 84.6 gal to pay for a $275 tune up ($275/$3.25). Or 1/3.25 = X/275 which equals 275(1/3.25) = X which equals 275/3.25=x which equals 84.6.

But I graduated from Angleton High so what do I know

Wes

[ecallarman]

Not 100% sure but let me take a wild stab at it with a few assumptions....

25 gallons @ 3.25=$81.25
7% gain in mpg
$81.25 @ 7%=$6.50
$275/$6.50= 42 fill ups

[BRobbins]

I came up with 15,625 miles...and my brain hurts

EDIT

Wait, that may be wrong....what color is your truck?

Found a cheater here http://www.dollartimes.com/calculato...calculator.htm

and the 15,625 I listed will save you $260...so it was close

[Coach W]

You get a tune up on your truck. It cost $275. You went from getting 13.5mpg to getting 14.5mpg (+1 mpg). Gas is $3.25 a gallon.
How many miles does it take to pay for your $275 tuneup?

still thinking

[El Coyote]

I am not a math guru but it seems to me like you are saving 1 gal/mile each gal is worth $3.25 therefore it would take 84.6 gal to pay for a $275 tune up ($275/$3.25). Or 1/3.25 = X/275 which equals 275(1/3.25) = X which equals 275/3.25=x which equals 84.6.

But I graduated from Angleton High so what do I know

Wes

That's what I came up with it, but im driving and can't do much higher math...

[slayr]

1226.85 miles is how many miles you get out of your new mpg for $275... too pay it off.. a whole 'nother equation.

You sir are correct.

84.6 gallons or 1227 miles.

[Sparkles]

You don't save a gallon per mile. You gain a a mile per gallon. should be around 1,226.7 miles

[Split Arrow]

deleted- qzilla is right

[Cuz]

How many gallons is your tank?

This shouldn't make a difference at all should it??

[ecallarman]

You don't save a gallon per mile. You gain a a mile per gallon. should be around 1,226.7 miles

Explain me if you dont mind. Seems like if it only took 1227 miles (Appx 3.5 tanks of gas assuming 25 gallon) that seems like a pretty fast pay back? Is it supposed to be 1227 gallons. Just trying to figure out where Iwent wrong.

[BRobbins]

from the online calculator

Miles Driven per Year 16550
Gas Mileage - Car #1 13.5

(Miles per Gallon)
Gas Mileage - Car #2 14.5

(Miles per Gallon)
Cost of Gas per Gallon
$3.25

Yearly gas costs:
Car #1: $3,984
Car #2: $3,709
By driving the more fuel efficient vehicle, you would save $275 per year.

[Shane]

Assuming a tank is 25 gallons....

25 gal X $3.25/gal = $81.25/tank

25 gal X 13.5 mpg = 337.50 miles/tank
25 gal X 14.5 mpg = 362.50 miles/tank

gain from tuneup = 1mpg X 25 gal = 25 miles per tank extra

25 miles / 14.5 mpg = 1.7241 gal
X $3.25/gal
-------------
$5.60 / tank savings

$275 / $5.60 = 49.1071 tanks
X 362.50 miles/tank (at 14.5 mpg)
-------------------
17,801.34 miles to break even