Question

what should be the answer ??​

Answer 1

Answer:

28 Days

Let work efficiency of one man and woman be x and y respectively .

Now

$4x + 9y = \frac{1}{12} \\ \\ 3x + 10y = \frac{1}{14}$

Now we need work efficiency of a woman , so we need to eliminate x .

For that multiply first equation by 3 and second by 4 and subtract

$40y - 27y= \frac{4}{14} - \frac{3}{12} \\ \\ 13y = \frac{24 - 21}{84} = \frac{3}{84} = \frac{1}{28} \\ \\ y = \frac{1}{28 \times 13}$

Work capacity of 13 woman

$13y = \frac{1}{28 \times 13} \times 13 = \frac{1}{28}$

So days in work complete = 1/ work efficiency

$= \frac{1}{( \frac{1}{28}) } = 28 \: days$

Answer 2

28 Days the 13 women will finish the job.