Question

Two candles have different lengths and different thicknesses. The shorter one would last 11 hours, the longer one would last for 7 hours. But of them are lit at the same time and burn evenly. After 3 hours both have the same length remaining. The ratio of their original lengths is

Answer 1

Answer:11:14

Step-by-step Explanation:

Let x = length of the shorter candle

y = length of the longer candle

After 3 hours, length left of the

shorter = x - 3x/11 and of the

longer = y - 3y/7

As these lengths are equal,

x - 3x/11 = y - 3y/7

or 8x/11 = 4y/7

or x/y = (4/7) x (11/8) = 11/14

So ratio of lengths of the shorter candle to the longer candle = 11 : 14.

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Answer 2

Answer:

11 : 14  

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