Robert bought 2 different candles. the ratio of short candle to the longer candle is 5 : 7. it is known that the longer candle when lighted can melt in 3.5 hours while the shorter candle when lighted can melt in 5 hours. now the two candles are lighted at the same time. after how many hours will the length of two candles be exactly equal ?

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Robert bought 2 different candles. the ratio of short candle to the longer candle is 5 : 7. it is known that the longer candle when lighted can melt in 3.5 hours while the shorter candle when lighted can melt in 5 hours. now the two candles are lighted at the same time. after how many hours will the length of two candles be exactly equal ?

Mathematics
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|dw:1434959599826:dw|
i sure the shrter one is more fat :)

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Other answers:

Haha is the answer 2 hours ?
im asking this problem, so i dont know the answer. can you show how to get that ?
Easy... Let \(5x\) = length of the short candle in meters \(7x\) = length of the longer candle in meters \(t\) = time elapsed in hours after the candles are lit
rate of melting of short candle = \(\large \frac{5x ~\text{meters}}{5 \text{hours}} = x\text{ meters/hour}\) starting length of short candle = \(5x\) The length short candle after \(t\) hours is given by \[5x-x*t \tag{1}\]
rate of melting of long candle = \(\large \frac{7x ~\text{meters}}{3.5 \text{hours}} = 2x\text{ meters/hour}\) starting length of short candle = \(7x\) The length longer candle after \(t\) hours is given by \[7x-2x*t \tag{2}\]
set both equation equal to each other and solve \(t\)
ok got it... thanks for your help
weird, the time at which the candles get to same heights doesn't depend on their starting lengths
|dw:1434961190951:dw|
|dw:1434961425203:dw|
i dont know why i even change the ratio lol
heres a ssimple way
|dw:1434961663833:dw|
which is nice to look at, that the candle is burning exactly 2 times faster

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