SOLUTION: Candle A and candle B are of the same length. Candle A, which is broader, can burn for 5 h while Candle B, the thinner candle, can burn for 4 h. If both candles are lighted at the

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Question 343880: Candle A and candle B are of the same length. Candle A, which is broader, can burn for 5 h while Candle B, the thinner candle, can burn for 4 h. If both candles are lighted at the same time, how long does it take for Candle A to be twice as long as Candle B?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Candle A and candle B are of the same length.
Candle A, which is broader, can burn for 5 h
while Candle B, the thinner candle, can burn for 4 h.
If both candles are lit at the same time, how long does it take for
Candle A to be twice as long as Candle B?
:
It would be convenient to choose a length for both candles, say 20 inches
then
Candle A will burn 20/5, 4 in/hr
Candle B will burn 20/4, 5 in/hr
:
Let t = time in hrs when candle A will be twice as long as Candle B
20 - 4t = 2(20-5t)
20 - 4t = 40 - 10t
-4t + 10t = 40 - 20
6t = 20
t = 20%2F6
t = 10%2F3 or 31%2F3 hrs for A to be twice as long as B
:
:
Check solution by finding the length of each after 3.33 hrs
20 - 4(3.33) = 6.67 inches
20 - 5(3.33) = 3.335 inches, confirms our solution