Question

If 5 men can do a piece of work in 28 days,then the number of persons to do the same work in 7 days is.
$step \: by \: step \: answer$
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Answer 1

Given:

5 men can do a piece of work in 28 days

To find:

The number of persons to do the same work in 7 days

Solution:

Let's assume "x" represents the no. of persons who can do the same piece of work in 7 days.

Since the total amount of work done by 5 men and "x" no. of persons is same, therefore we can use the Man-Days formula to solve the given problem:

$\boxed{\bold{M_1 \times D_1 = M_2 \times D_2}}$

Here we have,

M₁ = 5 mens

D₁ = 28 days

M₂ = x persons

D₂ = 7 days

Now, on substituting the given values in the formula above, we get

$5 \times 28 = x \times 7$

$\implies 140 = x \times 7$

$\implies x = \frac{140}{7}$

$\implies \bold{x = 20}$

Thus, the number of persons to do the same work in 7 days is → 20.

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Answer 2

Answer:

20

Step-by-step explanation:

5 men - 28 days

? men - 7 days

men will become more

so, more by less

28/7 × 5

5 × 4 = 20

∴ 20 men are required to complete the work in 7 days

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