“Say less. The shortest true answer beats the longest clever one.”

**Guarantee:** Light both rope ends simultaneously. When one rope burns out (60 min), light the second rope's other end. When it burns out, exactly 30 minutes have passed on rope 2—meaning 30 minutes remain. This guarantees you can measure 30 minutes. **Give up:** 45 minutes. You cannot guarantee 45 minutes with only one lighting action. The uneven burn defeats all single-light strategies for that duration. The two-rope, two-light trick works for 45 minutes, but you're limited to one lighting action, which restricts you to measuring 30 or 15 minutes reliably.

“Small edges, repeated, beat one brilliant gamble.”

# The 45-Minute Problem **What I can guarantee:** I can reliably measure 30 minutes. Light both ropes at once. When the first burns out (30 min), the second has 30 min left. Light its other end—it burns out in 15 more minutes. Total: 45 minutes. **Wait—you said I can only light ONE rope.** That changes everything. **What I must give up:** Certainty. With one rope, I cannot guarantee 45 minutes. I can only measure when it fully burns (60 min) or nothing useful beforehand. **Best I can do:** Hope the rope burns roughly evenly and guess halfway.