Question

A peacock is sitting on the top of a pillar which is 9 m high. From a point
27 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 their speeds are
equal, at what distance from the hole is the snake caught? CBSE 2008]
(HOTS)​

Answer 1

Answer:

See the above picture

Step-by-step explanation:

As speed of both peacock and snake is same

so distance covered by both will be equal

let distance be = x

snake will be at as distance of 27-x

peacock distance would be equal to

distance covered by both = 15 m

distance from hole = 27-15 = 12 m

Answer 2

Answer:

Given:

• A peacock is sitting on the top of a pillar which is 9 m high. From a point 27 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.

Find:

• If their speeds are equal, at what distance from the hole is the snake caught?

Calculations:

• Let us assume "D" as distance and "27 - D" be distance of snake.

=> 9^2 + (27 - D)^2 = D^2

=> 81 + 789 + D^2 - 54D = D^2

=> D = 810/54

=> D = 15

Therefore, distance covered by both is equal to 15 m.

Finding the distance form hole:

=> 27 - 15

=> 12 m

Therefore, 12 m is the distance form hole.