Question

4 men and 6 women can finish a piece of work in 20 days, while 3 men and 4 women can finish it in 28 days. Find the time taken by one man alone and by one woman alone to finish the work.​

Answer 1

6 days they will finish the work

Step-by-step explanation:

4 men if finish work in 20 days it means a man does (1/80)th of the work in a day

6 women finish a work in 20 days it means a woman does (1/120)th of the work in a day

6 men and 11 women do (6/80)+(11/120) = (9/120)+(11/120) = 20/120 = (1/6)th of the work in a day. So they will finish the work in 6 days.