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Burning Ropes Time Measurement

Medium · Brainteasers · Quant Trader interview question · time-measurement, logic, burning-rope, mental-math

You have two non-uniform ropes. Each rope, if lit at one end, will burn completely in exactly 60 minutes. However, due to their non-uniformity, they do not burn at a constant rate. How can you measure exactly 45 minutes using only these two ropes and a lighter?