Question

There are two candles of same length and same size. Both of them burn at uniform rate. The first one burns in 10
hours and the second one burns in 6 hours. Both the candles are lit together. After how many minutes the length of
the first candle is 3 times that of the other?​

Answer 1

Let the length of candle be l.

After t time (in minutes), length of first candle =l−

300

lt

Length of second candle =l−

180

lt

From the given information,

l−

300

lt

=3l−

180

3lt

⇒

300

4t

=2

⇒t=150 mins