Puzzle_8

1. A c-pole of 200ft is 250ft from the d-pole which is 150ft high..Two pigeons are sitting at the top of each poles(one in one pole)Both pigeon fly towards a grain which is present between the 2 polesat the same speed.what is the distance between the c-pole and the grain?

Answer: pole c is 200 ft.
pole d is 150 ft.
Dist b/w these poles is 250 ft.
Assume grain is place at dist x from pole c.
so that now the dist b/w c and d is x + (250-x)
now since the speed of the bird is same and they both reach at same time.
The Dist travelled by them will be same.
i.e., the hypotenues will be same.
So 200^2 + x^2 = 150^2 + (250-x)^2
solving this x = 90 ft.
Hence Dist b/w c-pole and grain is 90 ft.

2. A man had covered 2/3 of distance by cycling and remaining covered on feet. For this he took twice the time to the cycling. Find how much speed is greater for cycling than on feet?

Answer: Suppose distance is d,
cycling speed is v and foot speed is u
then 2*(2/3d)/v=(1/3d)/u => v=4u
So 4 times greater