If 8 men or 12 women can do a piece of work in 25 days, in how many days can 6 men and 11 women do the same work?

8 Men can do the Work in 25 days. So in 1 day the 8 Men can do 1/25th of the Work. Therefore in 1 day , 1 Man can do 1/200th of the Work. (Dividing 1/25th of the Work by 8) 12 Women can do the Work in 25 days So in 1 day the 12 Women can do 1/25th of the Work Therefore in 1 day, 1 Women can do 1/300th of the Work (Dividing 1/25th of the work by 12) Now 6 Men and 11 Women “WORK TOGETHER” (according to the question) From above we know that in 1 day , 1 man can do 1/200 of the Work So 6 Men can 6 x 1/200 = 6/200 of the Work Also from Above we know the 1 Women can do 1/300th of the Work in 1 day Therefore 11 women can 11 multiplied by 1/300 11x 1/300 = 11/300 So in 1 day the WORK Done by 6 Men + 11 Women is equal to: 6/200 + 11/300 = 40/600 So In 1 day 40/600 of the Work gets done. How long to complete the work 1 / (40/600) * 1 day = 600/40 = 15 days. So it will take 6 men and 11 women working together just 15 Days to Finish the Work