# How far is it to my Aunt's house?

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Last week I decided to cycle to my Grandmother's house.

On the first day, I cycled half of the distance.
On day 2, I cycled one half of the remaining distance.
On day 3, I cycled three quarters of the remaining distance.
On day 4, I cycled 10 kms.
On day 5 I cycled two thirds of the remaining distance and on the final day I cycled the remaining 5 kms.

How far is it to my aunt's house?

posted Aug 22, 2014

+1 vote

`400 Kms`

–1 vote

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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 km per hour and managed a paltry 20 km per litre of fuel.

At the start of the journey I had placed exactly 10 litres of fuel into the tank. I knew though, that the fuel tank lost fuel at the rate of half a litre 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?