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## Aunt's Ol' Jalopy

Math brain teasers require computations to solve.

 Puzzle ID: #49384 Fun: (3.05) Difficulty: (1.61) Category: Math Submitted By: firefox99

After visiting my Great Aunt Annie, I travelled home in her old jalopy. The car was old and battered, it had a leak from the petrol tank, and I was stuck in second gear.

This meant that I could only travel along at a steady 30 miles per hour and managed a paltry 20 miles per gallon of fuel.

At the start of the journey I had placed exactly 10 gallons of fuel into the tank. I knew though, that the fuel tank lost fuel at the rate of half a gallon per hour.

Just as I arrived home, the car stopped because it had run out of fuel and I had only just made it.

How far was it from my Great Aunt's to my home?

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 Melanmel16 Mar 28, 2012 Great aunt Annie lol Babe Apr 24, 2012 I did not even try. Did not like math in school and certainly was not going to bust my brain on this one. How about a real quiz that doesn't take us back to the class room!! HABS2933 Apr 24, 2012 Great teaser, easily solvable. bestgirl Apr 24, 2012 Good one. dsjt Apr 24, 2012 Where did your aunt find a "jalopy" that jets 20 MPG? I wished my vehicle could get that. xdbtcp Apr 24, 2012 I figured 20 miles per gallon, and you had 10 gallons, so you went 200 miles... xdbtcp Apr 24, 2012 Guess I shoulda read "the fuel tank lost fuel at the rate of half a gallon per hour." gghali Apr 24, 2012 Great teaser! Lots of fun. wordmama Apr 24, 2012 I love math, even though it's not my field. I wanted to try it, but I couldn't figure out how to reconcile the mpg, the mph, and the fuel loss. The explanation was excellent; I'm disappointed in myself that I couldn't see it on my own! FatHead Apr 24, 2012 That was awesome. I'm glad I had as much practice as I did with high-school algebra and word problems. bradon182001 Apr 24, 2012 Nice teaser, never hurts to practice a little math to keep the mind active. auntiesis Apr 24, 2012 I love math problems, but this one was way too easy. But I still loved it. luluw5 Apr 24, 2012 this is supposed to b a brain teaser! not homework! DarylK May 25, 2012 Ah, I shoud have read the question throughly. Babe Apr 24, 2015 I suggest you get the car fixed immediately for your Aunt as leaking fuel can be very dangerous! catmom Apr 24, 2015 My head started spinning after the first sentence. xdbtcp Apr 24, 2015 I figured 20 miles per gallon, and you had 10 gallons, so you went 200 miles... xdbtcp Apr 24, 2015 Guess I shoulda read "the fuel tank lost fuel at the rate of half a gallon per hour." shaswot Nov 18, 2015 Should it not be 20/30 to find gallons per hour?? Thanks Paladin Feb 25, 2016 I'm a fan of algebra, so I solved this differently: The total distance (d) is represented by 30t (30 MPH x hours travelled) d = 30t Also the total distance travelled is (20MPG * 10 gallons) - (0.5 gallons * 20 MPG * t) d = 200 - 10t Set these equal and solve for t: 30t = 200 - 10t 40t = 200 t = 5 hours 5 hours at 30 MPH = 150 miles Not as simple as the given solution, but certainly more universal ;) Nice teaser. dalfamnest Oct 08, 2016 Fun teaser. Thanks for posting it - and how about a few more, Firefox?