Question

a lamp post has half of its length in mud,1 by 3 of its length in water and 3 whole 1by3m above water. find the whole length of the post​

Answers

  1. Answer: 20m
    Step-by-step explanation: Correct option is A)
    Let the total  length of the post be x m
    Then length of post in mud= x/2
    ​Length of post in water = x/3
    Given
    x/2-x/3=10/3
    x/6=10/3
    x=20
    ​

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  2. Answer:
    20 m
    Step-by-step explanation:
    Given:
    • Length in mud = ¹/₂ its length
    • Length in water = ¹/₃ its length
    • Length above water = 3 ¹/₃ m
    Let x be the length of the lamp post.
    Convert 3 ¹/₃ to an improper fraction:
    \sf \implies 3 \frac{1}{3}=\dfrac{3 \times 3+1}{3}=\dfrac{10}{3}
    The total length of the lamp post (x) is the sum of the three given lengths:
    \implies \sf mud+water+above\: water=x
    \sf \implies \dfrac{x}{2}+\dfrac{x}{3}+\dfrac{10}{3}=x
    Multiply both sides by 6:
    \sf \implies \dfrac{6x}{2}+\dfrac{6x}{3}+\dfrac{6 \cdot 10}{3}=6x
    \sf \implies 3x+2x+20=6x
    \sf \implies 5x+20=6x
    Isolate x:
    \sf \implies 20=6x-5x
    \implies \sf x=20
    Therefore, the whole length of the post is 20 m.

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