document.write( "Question 923734: Two candles of the same height are lit at the same time. One burns down in 5 hours while the other burns down in 3 hours. After how many hours will the first candle be three times the height of the second? \n" ); document.write( "
Algebra.Com's Answer #560297 by ankor@dixie-net.com(22740)\"\" \"About 
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Two candles of the same height are lit at the same time. One burns down in 5 hours while the other burns down in 3 hours.
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\n" ); document.write( "lets assume both candles start out at 15\" high
\n" ); document.write( "then
\n" ); document.write( "the 1st candle burns 3\" per hr
\n" ); document.write( "and
\n" ); document.write( "the 2nd candle burns 5\" per hr
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\n" ); document.write( "\" After how many hours will the first candle be three times the height of the second?
\n" ); document.write( "let t = time in hrs for this to be true
\n" ); document.write( "12 - 3t = 3(12-5t)
\n" ); document.write( "12 - 3t = 36 - 15t
\n" ); document.write( "-3t + 15t = 36 - 12
\n" ); document.write( "12t = 24
\n" ); document.write( "t = 24/12
\n" ); document.write( "t = 2 hrs
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\n" ); document.write( ":
\n" ); document.write( "see if this is true
\n" ); document.write( "12 - 3(2) = 6\"
\n" ); document.write( "12 - 5(2) = 2\"
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