"I'm not back." - Bill Harding, Twister
Originally posted by Pranav Jaidka:
There are 2 ropes .
When one is lighted it burns out in 1 hour.
when the other is ligthed it burns out in half hour.
Measure 45 minutes using these ropes .
Ropes are uneven in density and do not burn out evenly.
[This message has been edited by Pranav Jaidka (edited May 30, 2001).]
- Varun
Originally posted by Jim Yingst:
Folding in half doesn't work if the ropes are uneven in density - you don't know that the midpoint of the rope necessarily represents the point where half the time has elapsed. But there is a way...
As a variation, try to measure a length of 37.5 minutes.
- Varun
"I'm not back." - Bill Harding, Twister
Originally posted by Jim Yingst:
VK - correct both times. Now, see if you can do 7.5 minutes.
- Varun
"I'm not back." - Bill Harding, Twister
"I'm not back." - Bill Harding, Twister
"I'm not back." - Bill Harding, Twister
Originally posted by Jim Yingst:
I'm afraid I didn't follow that, VK. You're going to light n fires at the very beginning, and each time one burns out, immediately light another in its place? And n will tend to infinity? Then it sounds to me as though the time required for evereything to burn will tend to 0, not 7.5 min. It sounds like you've divided the whole rope into a lot of little pieces that will all burn up simultaneously in a fraction of a second. What am I misunderstanding?
- Varun
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