There are two candles of equal lengths and of different thickness. The thicker one lasts of six hours. The thinner 2 hours less than the thicker one. Ramesh lights the two candles at the same time.When he went to bed he saw the thicker one is twice the length of the thinner one.
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Answer:
The thinner lasts 4 hours, the thicker 6 hours.
Both have the same length at the start, let's say they are
both x cm long.
The thick candle loses 1/6x per hour, the thin loses 1/4x per hour.
In t hours:
Thin: x - 1/4x*t
Thick: x - 1/6x*t
The thick one will be 2 times the thin one:
x - 1/6x*t = 2(x - 1/4x*t)
x = 1/2x*t - 1/6x*t = 1/3x*t
t = x / (1/3x) = 3.
This will take 3 hours.
Thin will be 1/4x, and thick will be 1/2x.
Step-by-step explanation:
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