Mad Ade was studying for his Kebabology examinations at the University of MADADIA. He was doing some final revision before his morning exam, but alas there was a power-cut. This was around 1:00 am. Mad Ade managed to find two candles in the dark and lit them. The two candles were of equal length but one was much thicker than the other.
According to the box, the thick candle is supposed to last six hours and the thin one two hours less. When Mad Ade finally went to sleep, dreaming of kebabs, the thick candle was twice as long as the thin one.
For how long did Mad Ade study by candlelight?
Answer
3hr
Say the length of the candle is 1 unit. After 1 hr the thick candle will be 5/6 of one unit, the thin candle 3/4. After two hr the thick candle will be 2/3 (4/6) the size and then thin 1/2 (2/4). After 3hr the thick candle will be 1/2 (3/6) and the thin 1/4. As 2* 1/4 = 1/2. The answer is 3hr.
