Latest CAT Aptitude Question SOLUTION: Meera was studying for her examinations and the lights went off. It was around 2:00 AM. She lighted two uniform candles of equal length but one thicker than the other. The thick ca

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(#M40029973) CAT question Keep an EYE

Meera was studying for her examinations and the lights went off. It was around 2:00 AM. She lighted two uniform candles of equal length but one thicker than the other. The thick candle is supposed to last six hours and the thin one three hours. When she finally went to sleep, the thick candle was twice as long as the thin one. For how long did Meera study in candle light?

Asked In CAT Upali Aparajita (10 years ago)

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Manas  (10 years ago)

Let x be the length of Thinner candle left
Therefore thicker candle is left 2x
Now,
Since both the candles were burnt for the same time so;
The rate of burning of both candles are
Thinner= 3/l (In 3 hours l length candle is totally burnt)
Thicker= 6/l (In 6 hours l length candle is totally burnt)
now equating
(3/l)*(l-x)=(6/l)*(l-2x)
this implies
x=l/3
So we have been left with l/3 lenth of thinner candle wich implies the candle had been burninh for two hour

So answer is 4 A.M.

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Sastry Mantravadi  (10 years ago)

At any time 't':
Length of thinner candle(x): L(1-t/3)
Length of thicker candle(y): L(1-t/6)

given condition y=2x => t=2hrs.

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Akash Srivastava  (10 years ago)

till 4 a.m....

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Dhananjay kumar  (10 years ago)

it will be 5.00 am because after 3 hr thiner candle burnd and hiker candle becam half..

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