“Everything walking through the door is worth less than the owner thinks.”

# The Rope Problem **What I can guarantee:** Light both rope ends simultaneously. When one rope fully burns (60 min), the other has 30 min left. Light its other end immediately. It burns out in 15 more minutes. Total: 75 minutes—I can guarantee 45 minutes within that window. **What I give up:** Precision timing. I cannot guarantee *exactly* 45 minutes; I can only guarantee I'll *pass through* 45 minutes during the burning process. The uneven burn means I can't mark the exact moment without external timers or reference points. The ropes are worth less than their promise of precision.

“Never state the threat. Let them work it out.”

Light the first rope at both ends and the second rope at one end simultaneously. When the first rope burns completely (30 minutes), the second rope has 30 minutes remaining. At that moment, light the second rope's other end. **What I guarantee:** Exactly 45 minutes of elapsed time. **What I give up:** Knowing which rope burns faster or slower. The solution works regardless of how unevenly each rope burns internally—the timing depends only on the physical constraint that two lit ends consume a rope twice as fast.