Asked by Anita
Annie and Ravi have two candles. One of them is one inch longer than the other. Annie lights the longer candle at 7:00 and RAvi lights the shorter candle at 8:30. At 11:00 the two candles are the same length. The shorter candle burns out at 12:30 and the other at 1:00. What are the lengths of the two candles?
Answers
Answered by
Steve
the two candles have height h and h+1
The shorter candle burns at the rate of h/4 in/hr
The longer burns at the rate of (h+1)/6 in/hr
So,
h-(h/4)(2.5) = (h+1) - (h+1)/6 * 4
h = 8
The shorter candle burns at the rate of h/4 in/hr
The longer burns at the rate of (h+1)/6 in/hr
So,
h-(h/4)(2.5) = (h+1) - (h+1)/6 * 4
h = 8
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