2440.13 – Driving to Nirvana
We were driving to Nirvana and I fell asleep. No, I was not driving, just eager to get there. So, when we were halfway there I fell asleep. When I woke up, the distance we still had to go was half as far as we went while I was asleep. For what fraction of the trip was I asleep?
Let be the whole trip and be the part that I slept through. Then the portion after I woke up is . The half of the trip after I went to sleep is . Therefore the whole trip, being twice that half, is .
Thus, so and it seems I was asleep for a third of the trip. Did I ever get to Nirvana? That is another story and will be told another time.