Question

one third of a bamboo is buried in mud ,one sixth of it is in water and the part above the water is greater than or equal to 3 meters .Find the length of shortest pole..

Answer 1

Let the length of the bamboo pole be x metres. 
: . the length of the pole in mud = x/2 metres. 

the length of the pole buried in water = x/6 metres. 

: . the length of the pole above water = (x- x/2 - x/6) metres. 

From the question, x - x/3-x/6 >=3.This is a linear inequation. 

: . 6x-2x-x/6>=3 
=》3x/6 >=1
=》x >= 6
: . the smallest value of x = 6
: . the length of the shortest bamboo pole is 6 meters.

Answer 2

x-(1/3x+1/6x)>=3m
x-1/2x>=3m
1/2x>=3m
x>=6m
Length of Shortest pole=6m