Jalopy Blues

After visiting my Great Aunt Anne, I travelled home in her old jalopy. The car was old and battered, it had a leak from the
gas 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 gas 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 gas. How far was it from my Great Aunt’s to my home?

2 guesses to Jalopy Blues

• anant

150 miles?

• Dude

150 miles is correct, Anant.

I was travelling at 30 mph at a rate of 20 mpg, so I was using 1.5 gallons every hour for the driving itself.

I was also losing 0.5 gallon every hour. In total, I was using 2 gallons every hour.

Therefore to use all of the 10 gallons I started with, I traveled for 5 hours.

5 hours at 30 mph is 150 miles.

You are today’s winner.