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.
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Answer:
72 m
Step-by-step explanation:
let length of pole= x
length in mud =x/3
length in sand =x-x/3 =3x-x/3=2x/3 ×1/4
=x/6
length in water = x-x/6
= 6x-x/6
= 5x/6
= 5x/6 × 1/2
= 5x/12
above water = 6
x/3+x/6+5x/12+6 = x
4x+2x+5x+72/12 = x
11x = 12x-72
11-12x = -72
-x =-72
x = 72 m
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