two candles of the same height are lit at the same time one candle burns completely in 5 hours the other in 4 hours if they are allowed uninterruptedly after how long would one candle be 2.4 times as long as the other?so;ution
we may consider the height to start out at y=1. So, we want to know when
1-x/5 = 2.4 * (1-x/4)
To find the time when one candle will be 2.4 times as long as the other, we can set up an equation based on their burning rates.
Let's assume that the initial length of both candles is h.
The first candle burns completely in 5 hours, so its burning rate is h/5 length per hour.
The second candle burns completely in 4 hours, so its burning rate is h/4 length per hour.
Now, let's assign a variable, t, as the time in hours that has elapsed.
After t hours, the length of the first candle will be h - (h/5) * t.
After t hours, the length of the second candle will be h - (h/4) * t.
To find the time when one candle is 2.4 times as long as the other, we can set up the following equation:
h - (h/5) * t = 2.4 * (h - (h/4) * t)
Now we can solve this equation for t to find the time when one candle is 2.4 times as long as the other.