A peacock is sitting on the top of a pillar. Which is 9 m high. From a point 37 m away from the bottom of the pillar , a snake is coming to its hole at the base of the pillar . Seeing the snake the peacock pounces on it. if the speeds of peacock and snake are in the ratio 3 : 5. At what distance from the hole is the snake caught ?
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Step-by-step explanation:
Seeing the snake the peacock pounces on it. if the speeds of peacock and snake are in the ratio 3 : 5. At what distance from the hole is the .
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Answer:
As speed of both peacock and snake is same
so distance covered by both will be equal
let Say distance = x
snake will be at as distance of 27-x
peacock distance would be equal to
\begin{gathered} {9}^{2} + {(27 - x)}^{2} = {x}^{2} \\ 81 + 729 + {x}^{2} - 54x = {x}^{2} \\ x = \frac{810}{54} \\ x = 15\end{gathered}
9
2
+(27−x)
2
=x
2
81+729+x
2
−54x=x
2
x=
54
810
x=15
distance covered by both = 15 m
distance from hole = 27-15 = 12 m
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