There is no universally known puzzle called the "114 Rope Puzzle." To solve it, I need the exact rules.
"You have two ropes that each burn in exactly 1 hour (non-uniformly). Measure 45 minutes."
Solution: Light Rope A at both ends + Rope B at one end. When A finishes (30 min), light B's other end. B burns remaining 30 min in 15 min → Total 45 min.
If your puzzle is a variant (e.g., 114 minutes, 3 ropes, different burn times), share the exact wording and I'll solve it step-by-step.