To finish a work in 8 days, 10 men are required, or 15 women are required. If 'x' men and 'y' women are required to finish the work in 12 days, then which of the following equations is correct?

Correct option is A

Given:
10 men can finish work in 8 days
15 women can finish work in 8 days
Required time = 12 days
Formula Used:
Work = Number of persons × Days
Solution:
Let one man's one-day work = m
Then one woman's one-day work = $$\frac 23$$​m
Total work = 10 × 8 = 80m
For 12 days:
12(xm + y × $$\frac 23$$​ m) = 80m
Dividing both sides by 4m:
3x + 2y = 20