Question 72

Twenty men complete a work in 16 days. Twenty women complete the same work in18 days. If all these men and women worktogether, then the numberof days required to complete that work

Solution

Let the capacity of each man and woman be m and w units/day respectively

320 m*d = 360 w*d 
m = (9/8)*w

All men and women work together , then work done in a day = 20m + 20w = 20 * (17/8) * w = 42.5*w
Total days needed to complete work = 360 w*d/42.5*w = 8.47 days


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