Question

a certain number of men complete a piece of work in 20 days. if 2 men wer
e excluded it would take 4 days more to complete. how many days men originally work here​

Answer 1

SOLUTION

GIVEN

• A certain number of men complete a piece of work in 20 days

• If 2 men were excluded it would take 4 days more to complete.

TO DETERMINE

The number of men originally work here

EVALUATION

Let the number of men originally work here = x

Then x men complete a piece of work in 20 days

Now it is given that if 2 men were excluded it would take 4 days more to complete.

So ( x - 2) complete the same work in ( 20 + 4) = 24 days

Here the number of men and the number of days are in inverse proportion

Hence

$\sf{x : (x - 2) = 24 : 20}$

$\displaystyle \sf{ \implies \: \frac{x}{(x - 2)} = \frac{24}{20} }$

$\displaystyle \sf{ \implies \: 24x - 48 = 20x}$

$\displaystyle \sf{ \implies \: 24x - 20x = 48}$

$\displaystyle \sf{ \implies \: 4x = 48}$

$\displaystyle \sf{ \implies \: x = 12}$

Hence the number of men originally work here = 12

FINAL ANSWER

The number of men originally work here = 12

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