Question

A certain height of pole is fixed in a lake whose one third is in mud, one fourth of the remaining in sand and half of the remaining in water. If rest 6 m is seen above water, find total length of the pole.

Answer 1

Given : A certain height of pole is fixed in a lake whose one third is in mud, one fourth of the remaining in sand and half of the remaining

in water.   rest 6 m is seen above water,

To find : total length of the pole.​

Solution:

Let say pole height  =  12P  m

one third is in mud = (1/3)12P = 4P m

Remaining = 12P - 4P = 8P  m

one fourth of the remaining  in sand   =  (1/4) 8P  = 2P  m

Remaining = 8P - 2P   = 6P   m

half of the remaining in water  = (1/2)6P  = 3P  m

Remaining = 6P - 3P  = 3P  m

rest 6 m is seen above water

=> 3P  = 6

=> P = 2

pole height  =  12P  m  = 12 x 2  = 24 m

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