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KVPY SA Exam 2016 Question Paper
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© examsnet.com
Question : 11
Total: 80
There are two candles of same length and same size. Both of them burn at uniform rate. The first one bums in 5 hours and the second one burns in 3 hours. Both the candles are lit together. After how many minutes the length of the first candle is 3 times that of the other?
90
120
135
150
Validate
Solution:
Let
V
1
&
V
2
are rates of burning for both candles respectively & L is the length of each candle
V
1
=
L
5
,
V
2
=
L
3
Let after time 't', their lengths are
l
1
&
l
2
l
1
=
L
−
L
5
t
l
2
=
L
−
L
3
t
&
l
1
=
3
l
2
(Given)
⇒
L
=
L
5
t
=
(
L
−
L
3
t
)
3
⇒
5
−
t
5
=
3
−
t
⇒
5
−
t
=
15
−
5
t
⇒
4
t
=
10
⇒ t = 2.5 hrs = 150 min.
© examsnet.com
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