Latest CTS Aptitude Question SOLUTION: Two candles of the same height are lighted at the same time. The first is consumed in 6 hours and the second in 4 hours. Assuming that each candle burns at a constant rate, in how

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Two candles of the same height are lighted at the same time. The first is consumed in 6 hours and the second in 4 hours. Assuming that each candle burns at a constant rate, in how many hours after being lighted, was the first candle was twice the height of the second?
1) 3.5 hrs
2) 2 hrs
3) 4 hrs
4) 3 hrs
5) 2.5 hrs

Asked In CTS ABHINAV PUSHPAM (8 years ago)

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santosh  (8 years ago)

6*4(2-1)/2*6-4=3hrs

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Sai Krushna Rath  (6 years ago)

let the height of each candle is 12 metres.
rate of decrease in height in first candle is 12/6 =2m/hr
rate of decrease in height in second handle is 12/4=3m/hr
so we have to find the time after which the remaining height of candle 1 is twice of candle 2
So,
12-2n=2(12-3n)
24-6n=12-2n
12=4n
n=3
So after 3 hrs the height of candle 1 is x2 of candle 2

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Varun Reddi  (5 years ago)

As first candle was twice the height of second so 2:1
then (1-(t/6))/(1-(t/4))=2/1
(24-4t)/(24-6t)=2/1
24-4t=48-12t
24=8t
t=3hrs

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