Two candles, A and B each 30cm long, and requiring 4 and 6 hours resp. to burn out, stand vertically at a distance of 30cm from each other. The shadow of B falls vertically at a distance 3m from B, which lies between A and the wall. Find the speed of the shadow in decimeter/hour.
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Answer:
Let the length of short candle be l and length of long candle be L
Long candle burns in 1 hour =
5
L
Long candle burns in 2 hours =
5
2L
Short candle burn in 1 hour =
3.5
l
Short candle burn in 2 hours =
3.5
2l
Short candle left =l−
3.5
2l
=
3.5
1.5l
According to the question
l=
5×1.4
3×3.5
L
l=
5
7
L
l
L
=
7
5
Explanation:
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