Question

16 Mason can build a wall in 21 days in how many days can 24 mesin built that Wall​

Answer 1

Given :

• 16 masons can build a wall in 21 days

To Find :

• How many days it will take for 24 masons to build the same wall.

Solution :

If the number of masons will increase the number of building days will decrease and vice-versa .

We know that :

|| If two quantities are related in such a way that an increase in one causes corresponding decrease in the other and vice-versa, then such a variation is called an inverse variation. ||

Now,

Let the days 24 masons will take to build the wall be x

(Refer to the attachment for table)

Since, mason & Days vary inversely :

$\longrightarrow \sf \: 16 \times 21 = 24 \times x$

$\longrightarrow \sf \: 336 = 24 \times x$

$\longrightarrow \sf \: 336 = 24x$

$\longrightarrow \sf \: x = \cancel \dfrac{336}{24}$

$\longrightarrow \sf \: x = 14 \: days$

$\therefore$ It will take 14 days for 24 masons to build the same wall.

Answer 2

▪ Given -

16 Masons can build a wall in 21 days.

▪ To Find -

How many Days are required to build that same wall with 24 masons.

▪ Solution -

Here, The Given Proportion is in Inverse Proportion.

Now, Let's assume days completed to build same wall with help of 24 masons be x

Let's form The Eqn with help of given conditions.

$⟹24 \times x = 16 \times 21$

$⟹24x = 33</strong><strong>6</strong><strong>$

$⟹x = \frac{336}{24}$

$⟹x = \frac{\cancel{336}}{\cancel{24}}$

$⟹x = 14$

⛬ 14 days are required to complete same wall with help of 24 Masons.