Question

If 25 men can do a piece of work in 3 days, in how many days can 5 men do the same work?

Answer 1

Given :–

• A piece of work done by 25 men in 3 days.

To Find :–

• How many days can 5 men do the same work.

Solution :–

First, we need to find the total work done in 3 days.

So,

Total work done in 3 days = a piece of work by 25 men × time.

• A piece of work done by 25 men.
• Time = 3 days.

So,

Total work done = 25 × 3

$\longrightarrow$ 75

So, the total work done in 3 days is 75.

Now, we have to find in how many days can 5 men do the same work.

It means,

We need to find time (t).

$\longrightarrow$ $\sf \dfrac{Total \: work \: done}{5}$

• Total work done = 75.

$\longrightarrow$ $\sf \dfrac{\cancel{75}}{\cancel{5}}$

$\longrightarrow$ $\sf \dfrac{15}{1}$

$\longrightarrow$ 15 days.

Hence,

The same work done by 5 men in 15 days.

Answer 2

$\huge\boxed{\fcolorbox{black}{Red}{answer}}$

$\huge \star \mathtt \red{ \underline{Given}} \star$

• 25 men can do a piece of work in 3 days

$\huge \star \mathtt \red{ \underline{To Find}} \star$

• In how many days can 5 men do the same work.

$\huge \star \mathtt \red{ \underline{solution}} \star$

Let ,

↪Piece of work = W

↪15 men = 3 days

↪5 men = X days

Thus,

W = m × t

• [ here is W = work, M= men and t = time ]

↪Work done by 25 men in 3 days would be

↪25×3 = 75

Now,

↪ how many days( T )will take to 5 men to do same work (W) , where W = 75

• From the equation W = m × t make time "T " the subject of the equation

Thus,

$↪t = \frac{W}{m}$

• [ where W = 75 and m = 5 ]

$↪t = \frac{75}{5}$

$↪t = 15$

Therefore,

5 men can complete the piece of work in 15 days.