Question

If 72 workers can do a piece of work in 40 days, in how many days will 64 workers complete the same work?

Answer 1

Answer:

45 days

Step-by-step explanation:

No. of workers = 72

Time taken = 40 days

Work done = 72 × 40

No. of workers = 64

Time taken = ?

Work done = 64 × x

$64 \times x = 72 \times 40$

$x = \frac{72 \times 40}{64}$

= 45 days

Answer 2

Given:  $72$workers can do a piece of work in $40$days.

We have to find the number of days required to complete the same work by$64$ workers.

We are solving in the following way:

By using the concept of:

Total work = Number of men x Time taken

From the above problem, we can say that:

Total work done$=72\times40$

Time is taken by $64$workers = $\frac{72\times40}{64}$

Solving the above equation further we get,

Time is taken by $64$workers$\Rightarrow 45$

Hence, $45$days will require to complete the same work by $64$workers.