Question

4/7 of a pole is in the mud. When 1/3 of it is pulled out 250 centimetre of the pole is still in the mud. Find the full length of the pole.​

Answer 1

Answer:

1050cm

Step-by-step explanation:

refer to picture

Answer 2

Given:

4/7 of a pole is in the mud. When 1/3 of it is pulled out 250 centimetres of the pole is still in the mud.

To find:

The full length of the pole.

Solution:

The full length of the pole is 656.25 cm.

To answer this question, we will follow the following steps:

Let the full length of the pole be x cm.

Now,

According to the question, we have

The length of a pole that is in the mud

$\frac{4}{7} \times x = \frac{4x}{7}$

Now, 1/3 of the length of pole that is in the mud is pulled out,

So,

The length of pole that is pulled out of the mud

$= \frac{4x}{7} \times \frac{1}{3}$

$= \frac{4x}{21}$

So,

The length of the pole that is remaining in the mud

$\frac{4x}{7} - \frac{4x}{21}$

On taking 21 as L.C.M, we get

$\frac{12x - 4x}{21}$

$\frac{8x}{21}$

Also given

Length of the pole that is remaining in the mud

$= 250 \: cm$

So,

$\frac{8x}{21} = 250$

$x = \frac{250 \times 21}{8}$

$= 656.25 \: cm$

Hence, the length of the pole is 656.25 cm.