anonymous
  • anonymous
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
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@ganeshie8
anonymous
  • anonymous
|dw:1434959599826:dw|
anonymous
  • anonymous
i sure the shrter one is more fat :)

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More answers

ganeshie8
  • ganeshie8
Haha is the answer 2 hours ?
anonymous
  • anonymous
im asking this problem, so i dont know the answer. can you show how to get that ?
ganeshie8
  • ganeshie8
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
ganeshie8
  • ganeshie8
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 \[5x-x*t \tag{1}\]
ganeshie8
  • ganeshie8
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 \[7x-2x*t \tag{2}\]
ganeshie8
  • ganeshie8
set both equation equal to each other and solve \(t\)
anonymous
  • anonymous
ok got it... thanks for your help
ganeshie8
  • ganeshie8
weird, the time at which the candles get to same heights doesn't depend on their starting lengths
dan815
  • dan815
|dw:1434961190951:dw|
dan815
  • dan815
|dw:1434961425203:dw|
dan815
  • dan815
i dont know why i even change the ratio lol
dan815
  • dan815
heres a ssimple way
dan815
  • dan815
|dw:1434961663833:dw|
dan815
  • dan815
which is nice to look at, that the candle is burning exactly 2 times faster

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