Problem: Two candles of the same length are made of different materials so that one burns out completely at a uniform rate in hours and the other, in hours. At what time P.M. should the candles be lighted so that, at P.M., one stub is twice the length of the other?
Answer Choices:
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Solution:
Let represent the number of hours before P. M. necessary to obtain the desired result. Then, representing the original length by , we have or, more simply, and . Therefore, the candles should be lighted hours after noon, that is, at P. M.