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Problem 664

AMC 10/12, early questions

Algebra Difficulty 3.0 Find the answer UKMT Grey Kangaroo · United Kingdom · 2019

Julio has two cylindrical candles with different heights and diameters. The two candles burn wax at the same uniform rate. The first candle lasts 6 hours, while the second candle lasts 8 hours. He lights both candles at the same time and three hours later both candles are the same height. What is the ratio of their original heights?

(A) $4:3$ (B) $8:5$ (C) $5:4$ (D) $3:5$ (E) $7:3$

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