This will sink as Titanic did! Math problem

[vlajce]

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?

[1715268961]

1715268961

[Gleb Gamow]

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?

I'll the answer in a sec.

190 miles

EDIT: I am wrong according to an answer I found via Google. Off by two score.

[vlajce]

Then this needs a bump

[galdur]

You use 1.5 (30/20) gallon per hour and lose 0.5 gallon. So, you drive for 5 hours and travel 150 miles.

[Bloddsvik]

Is this some kind of analogy for bitcoin and it's future value?

[xmaxbit]

Exactly, he traveled for 5 hours and up to 150 miles.

[Tash]

This will sink as Titanic did!

Titanic never sunk
https://www.youtube.com/watch?v=zOca_wTZ5BQ