Chris Muller

Play · Tricky

Two burning ropes

Two ropes and a lighter. Each rope takes exactly 60 minutes to burn end to end, but unevenly, so half a rope isn't half an hour. You have no clock. Ring the bell at exactly 45 minutes.

The puzzle

burned out
Rope A
burned out
Rope B

Light whichever ends you like, then start.

    How to think about it

    Trust only the guarantee

    Don't trust the rope's length; only its total burn time is guaranteed. A rope lit at both ends burns out in exactly 30 minutes, wherever the flames meet. If the other rope was burning from one end the whole time, it has exactly 30 minutes left at that moment. What happens if you light its other end too?