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29 December, 13:34

A twelve inch candle and an 18 inch candle are lit at 6pm. The 12-in. candle burns 0.5 inches every hour. The 18 inch candle burns two inches every hour. At what time will the two candles be the same height? Let h represent the number of hours.

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  1. 29 December, 13:47
    0
    12 - 0.5x = 18 - 2x

    12 + 1.5h = 18

    1.5h = 6

    h = 4

    4 hours

    or to work it out the other way ...

    18 - 2t = 12 - 0.5t

    6 = 1.5t

    t = 6/1.5

    t = 4 hours, at time of 10 p. m.
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