Question

Two candles are of different lengths and thicknesses. The short and the long ones can burn respectively for 3.5 hours and 5 hours. After burning for 2 hours, the lenghts of the candles become equal in length. What fraction of the long candle's height was the short candle initially? (Please explain in detail)​

Answer 1

Answer:

Both thickness and length will decide how long the candles will burn .

Let assume lengths were L and m initially .

In 3.5 hours L length burns , in one hours " L/ 3.5 " will burn and in 2 hours 2L/3.5 will have been burnt . Remaining length will be L - 2L/3.5 = 3L/7

Similarly in 2 hours 2m/5 length will have been burnt and remaining will be " m - 2m/5 = 3m/5 "

But given that remaining lengths are equal

$\frac{3l}{7} = \frac{3m}{5} \\ \\ \frac{l}{m} = \frac{7}{5}$