Question

To complete one work 15 womens take 8 days how many Womens are required to complete that work in 6 days

Answer 1

Answer:

no one because the work is already done

Answer 2

Given:

To complete one work 15 women take 8 days how many women are required to complete that work in 6 days?

To find:

How many women are required to complete that work in 6 days?

Solution:

To solve the above-given problem we will use the following formula of Man-Days from the chapter of Time and Work:

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

Here we have,

M₁ = no. of workers = 15 women

D₁ = no. of days taken by 15 women to complete the work = 8 days

M₂ = no. of workers = need to find

D₂ = no. of days taken by M₂ women to complete that work = 6 days

Therefore, using the Man-Days formula, we get

$15 \times 8 = M_2 \times 6$

$\implies M_2 = \frac{15\times 8}{6}$

$\implies M_2 = \frac{15\:\times \:4}{3}$

$\implies M_2 =5\:\times \:4$

$\implies \bold{M_2 = 20 \:women}$

Thus, 20 women are required to complete that work in 6 days.

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