2candles,one green and one red,are lit at the same time.The green candle burns twice as fast as the red one.The green candle burns burns out after 6 hours,how much time will elapse before the red candle burns out ?

umhh, another 6 hours ?

To determine the time it takes for the red candle to burn out, we need to find the burning rate ratio between the green and red candles. Since the green candle burns twice as fast as the red one, the burning rate ratio is 2:1.

Given that the green candle burns out after 6 hours, we can use this information to find the burning time of the red candle by setting up a proportion:

(Green candle burning time) / (Red candle burning time) = (Green candle burning rate) / (Red candle burning rate)

Let's assign x as the burning time for the red candle:

6 (green candle burning time) / x (red candle burning time) = 2 (green candle burning rate) / 1 (red candle burning rate)

Now we can solve for x by cross-multiplying:

6/x = 2/1

Multiplying both sides of the equation by x:

6 = 2x

Dividing both sides by 2:

x = 3

Therefore, the red candle will burn out after 3 hours.