lay both the candles together on a horizontal surface, next to each other, but both pointing in opposite direction as shown….
now light both the candles….
when both the flames on both candles meet , exactly half an hour would hav passed…
now the candles should look like…
now rearrange the candles…
now wait until the flames meet…..
so that the total time elapsed will be 30 + 15 = 45 mins…
the above solution is assuming that the rate at which the candles burn doesnt change
with respect to its orientation – horizontal or vertical
1.Light the first candle from both the sides and 2nd candle from one side.
2.1st canlel will finish in 30 min. while 2nd candle will be burnt half way.
3.Now light 2nd candle from both the sides. It will finish in next 15 min.
So we have calculated 45 minutes in all.