Question

Two candles have different lengths and thickness . The shorter lasts 11 hrs and longer 7hrs when both are lit simultaneously .if after 3 hrs of their being lit together at same time ,both have same length ,then their ratio of hight is ? ​

Answer 1

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.