Software - Driving home for Christmas


After visiting my Great Aunt Anne for Christmas, 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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