please help me! This is impossible!
Two candles of equal height start to burn simultaneously. One of the candles is thicker than the other one and burns out in 4 hours, while the thinner one burns out in 2 hours. Both of the candles are extinguished after some time, and the remaining height of the thicker candle is now 3 times as long as the thinner one. How many minutes were the candles burning for?
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2
Answer:
96 minutes !
Solution refers to the attachment above !
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Answered by
0
Answer:
96 min
Step-by-step explanation:
Time to burn completely
Thick Candle = 4h
Thin Candle = 2h
Candle burn for 1 min:
Thick Candle = 1/(4*60)
Thin Candle = 1/(2*60)
After x min
Thick Candle = x/240
Thin Candle = x/120
height remaining
Thick Candle = 1 - x/240
Thin Candle = 1 - x/120
1 - x/240 = 3 (1 - x/120)
=> 1 - x/240 = 3 - x/40
=> x/40 -x/240 = 2
=> 5x/240 = 2
=> x = 96
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