Question

12 workers dig well in 4 days,how many worker are needed to dig the same well in 6 days

Answer 1

Hey Garadeomkar !

Answer:

8 workers

Step-by-step explanation:

Given :

12 workers dig a well in 4 days.

W₁ = 12 workers

T₁ = 4 days

To Find :

The number of workers required to dig the same well in 6 days.

T₂ = 6 days

Concept :

If a work Is done by more men, it will require less time. Hence this is a clear example of inverse proportion.

W ∝ $\frac{1}{T}$

Where W is the number of workers.

And T is the time taken to finish the work.

Procedure :

W ∝ $\frac{1}{T}$

=> $\frac{W_{1}}{W_{2}} = \frac{T_{2}}{T_{1}}$

We need to find W₂.

Substituting all the given values,

=> $\frac{12 \ workers}{W_{2}} = \frac{6 \ days}{4 \ days}$

⇒ $\frac{12 \ workers}{W_{2}} = \frac{3}{2}$

=> $\frac{W_{2}}{12 \ workers} = \frac{2}{3}$

⇒ W₂ = $(\frac{2}{3} \times 12) \ workers$

∴ W₂ = 8 workers.

Hence It requires 8 workers to dig the same well in 6 days.

Thanks !