2 men and 3 women finish 25 % of the work in 8 days . 6 men and 12 boys finish the 20% of the work in 4 days .In how many days can 8 men and 3 women and 12 boys finish 40% of the work together.(in approx.)

Let total work = W units. From statement 1: 2M + 3W complete 0.25W in 8 days, so their combined rate = 0.25W/8 = W/32 per day. From statement 2: 6M + 12B complete 0.20W in 4 days, so their combined rate = 0.20W/4 = W/20 per day. We need time for 8M + 3W + 12B to complete 0.40W. Using the given rates and assuming M, W, B have different efficiencies, we can estimate. Testing with reasonable values gives approximately 5 days (option B).