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​

Answer 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

​

Answer 2

20 m

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 (1)/(3)=(3 * 3+1)/(3)=(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 (x)/(2)+(x)/(3)+(10)/(3)=x`

Multiply both sides by 6:

`\sf \implies (6x)/(2)+(6x)/(3)+(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.