SOLUTION: Una recently purchased two boxes of ten-inch candles — one box from a discount store, and the other from an expensive boutique. It so happens that the inexpensive candles last on

Algebra ->  Length-and-distance -> SOLUTION: Una recently purchased two boxes of ten-inch candles — one box from a discount store, and the other from an expensive boutique. It so happens that the inexpensive candles last on      Log On


   

Question 1078489: Una recently purchased two boxes of ten-inch candles — one box from a discount store,
and the other from an expensive boutique. It so happens that the inexpensive candles last
only three hours each, while the expensive candles last five hours each. One evening, Una
hosted a dinner party and lighted two candles — one from each box — at 7:30 pm. During
dessert, a guest noticed that one candle was twice as long as the other. At what time was
this observation made?
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
                     RATE of BURN    TIME     CONSUMED     REMAINING

cheap candle         1%2F3               t       t%2F3                1-t%2F3

expensive candle     1%2F5               t       t%2F5                1-t%2F5


After passage of t time, the expensive candle was twice as long as the cheap candle.

%281-t%2F5%29%2F%281-t%2F3%29=2

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t=2%261%2F7-----time in hours
2 hours 9 minutes
-

Observation done about 9:39PM.