Question

There is a pole in a lake. One-half of the pole is under the ground, another one-third of it is covered by water
and 9 ft is out of the water. What is the total length of the pole in ft?​

Answer 1

The total length of the pole in ft is 54 ft.

Step-by-step explanation:

Let the total length of the pole be “x” ft.

It is given that,

The fraction of the pole which is under the ground = $\frac{x}{2}$

The fraction of the pole which is covered by water = $\frac{x}{3}$

The length of the portion of the pole which is out of the water = 9 ft.

So, we can write the eq. as,

$\frac{x}{2} + \frac{x}{3} + 9 = x$

⇒ $\frac{3x + 2x + 54}{6} = x$

⇒ 3x + 2x + 54 = 6x

⇒ 5x + 54 = 6x

⇒ 6x - 5x = 54

⇒ x = 54

 

Thus, the total length of the pole in ft. is 54 feet.

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Also View:

There is a pole in a lake. half of the pole is embedded in the mud at the bottom of the pond, another one third is covered by water, and 7 feet is out of the water. what is the total length of the pole?

https://brainly.in/question/2958474

Answer 2

Answer:

Let the total length of the pole be “x” ft.

It is given that,

The fraction of the pole which is under the ground = \frac{x}{2}

2

x

The fraction of the pole which is covered by water = \frac{x}{3}

3

x

The length of the portion of the pole which is out of the water = 9 ft.

So, we can write the eq. as,

\frac{x}{2} + \frac{x}{3} + 9 = x

2

x

+

3

x

+9=x

⇒ \frac{3x + 2x + 54}{6} = x

6

3x+2x+54

=x

⇒ 3x + 2x + 54 = 6x

⇒ 5x + 54 = 6x

⇒ 6x - 5x = 54

⇒ x = 54

Thus, the total length of the pole in ft. is 54 feet.