# If 4 men and 6 women can complete a work in 8 days

If 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days, then 10 women complete it in

(a) 40 days

(b) 45 days

(c) 35 days

(d) 50 days

**Answer: (a) 40 days**

**Solution:-**

Let 1 man’s 1 day work = x

and 1 woman’s 1 days work = y.

Then, 4x + 6y = 1/8

and 3x+7y = 1/10

solving, we get y = 1/400 [means work done by a woman in 1 day]

10 women 1 day work = 10/400 = 1/40

Then, 10 women will finish the work in 40 days

Hence, the correct answer is option (a) 40 days.