Latest NTSE Aptitude Question SOLUTION: Two candles have different lengths and thickness. The shorter lasts 11 hours and the longer 7 hours,when both are lit simultaneously. If after 3 hours of their being lit together a

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(#M40009708) NTSE question Keep an EYE

Two candles have different lengths and thickness. The shorter lasts 11 hours and the longer 7 hours,when both are lit simultaneously. If after 3 hours of their being lit together at the same time, both have the same length, then what is the ratio of their original lengths?

Asked In NTSE (12 years ago)

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Aman  (12 years ago)

11:14

Let x = length of the shorter candle
y = length of the longer candle
After 3 hours, length left of the
shorter = x - 3x/11 and of the
longer = y - 3y/7
As these lengths are equal,
x - 3x/11 = y - 3y/7
or 8x/11 = 4y/7
or x/y = (4/7) x (11/8) = 11/14
so ratio of lengths of the shorter candle to the longer candle = 11 : 14.

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phani  (12 years ago)

AFTER 3HOURS:SHORTER S=8/11 OF ORIGINAL
LONGER L=4/11 0F ORIGINAL
AS PER PROBLEM:8/11S=4/11L
=>S/L=1/2
RATIO IS :1:2

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Chirag Ranjan Lahiri  (10 years ago)

x - 3x/11 = y - 3y/7
or 8x/11 = 4y/7
or x/y = (4/7) x (11/8) = 11/14

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