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Time To Fuse

You have a string-like fuse that burns in exactly one minute. The fuse is inhomogeneous, and it may burn slowly at first, then quickly, then slowly, and so on. You have a match, and no watch. How do you measure exactly 30 seconds?

light the fuse at both ends!

Regardless of the pace at which the fuse burns at any given position on, the two flames will meet at the 30 second mark. For example, if the 90% of the string takes 30 seconds to burn, it means the last 10% also takes 30 seconds. Lighting from both ends means the flame will meet at the 10%/90% position on the string, but this occurs after 30 seconds.

Comments


Sean Moran

You never said it takes the same amount of time to burn the same amount of fuse, which the answer requires you to "know", only that it takes a minute to burn the whole fuse; much less that the fuse burns from both ends at the same rate.


Vishal barot

Good quiz


Tarun245

You measure till the fire reaches the middle of the rope.


ylq

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Submitted by
Valentin
almost 6 years ago
Likes
Difficulty 4.5 ?

Tags
physics logic rates


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