4 men and 8 women complete a work in 10 days and 5men and 24women complete the same work in 4days. In how many days will 1man and 1woman complete
Hello Aspirant
Let the efficiency of one man be M and that of one woman be W.
Total work done = (4M + 8W) * 10 = 40M + 80W
Also, total work done = (5M + 24W) * 4 = 20M + 96W
Therefore, 40M + 80W = 20M + 96W
20M = 16W
M/W = 4/5
Let the total work done be 1 unit. 1 unit of work is done by 4 men and 8 women in 10 days.
Efficiency of 4 men and 8 women = 1/10
Efficiency of 1 man and 1 woman = (1/10) * (1/9) = 1/90
Time taken by 1 man and 1 woman to complete 1 unit of work = 90 days
The answer is 90 days.