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Comparing linear rates word problems

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Problem

Two candles start burning at the same time. One candle is 15, start text, c, m, end text tall and burns at a rate of 5, start text, c, m, end text every 6 hours. The other candle is 25, start text, c, m, end text tall and burns at a rate of 2, start fraction, 1, divided by, 2, end fraction, start text, c, m, end text every hour.
How tall will the candles be when they first burn down to the same height?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
start text, c, m, end text
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