Question

A lamp post has half of its length in mud and of its length in water.
(1) What fraction of its length is above the water?
1
(ii) If 3
m of the lamp post is above the water, find the whole length of the lamp post.
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Answer 1

Step-by-step explanation:

(i) Let length of the post = 1 m

Then length of post in mud = ½ m

And length of post in water = 1/3m

∴ Length of post above the water = 1 – (1/2 + 1/3)

= 1 – {(3 + 2)/6}

= 1 – 5/6

= (6 – 5)/6

= 1/6 m

(ii) But length of post above water = 3.1/3 m

= 10/3 m

∴ 1/6th of total length = 10/3 m

∴ Total length = 10/3 × 6/1

= 20 m

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