though she was born a long long time ago, your mother should know
this problem came to me tonight while crossing lanes of traffic:
a circle is divided by its diameter and two points are placed on its circumference--one on each side. point A is placed along the arc of side alpha so that it's divided in half and as for point B, it cuts arc beta into proportions of 1/3 and 2/3. a trip is to be made from point A to point B. if the respective probabilities that you will die for side alpha and side beta increase by 1/20 and 1/10 for each second you stay in them, how much time will the safest path from A to B take? (assuming you walk at a constant rate of your choice)
play around with the numbers to make it into an integer problem
i'm really sleepy today. think i'll do another version of this one, and then phone my dreams for a while. if there's anything interesting to tell after, i will.
note: more precise language was spurned in courtesy for target audience (simpers endearingly).
a circle is divided by its diameter and two points are placed on its circumference--one on each side. point A is placed along the arc of side alpha so that it's divided in half and as for point B, it cuts arc beta into proportions of 1/3 and 2/3. a trip is to be made from point A to point B. if the respective probabilities that you will die for side alpha and side beta increase by 1/20 and 1/10 for each second you stay in them, how much time will the safest path from A to B take? (assuming you walk at a constant rate of your choice)
play around with the numbers to make it into an integer problem
i'm really sleepy today. think i'll do another version of this one, and then phone my dreams for a while. if there's anything interesting to tell after, i will.
note: more precise language was spurned in courtesy for target audience (simpers endearingly).