Question
Time taken by 18 men working 10 hours a day to complete
a work is 28 days whereas time taken by 21 women working 8 hours a day to complete the work is 40 days. Find the time taken by 15 men and 20 women working together 12 hours a day to complete the work.Solution
Let the efficiency of a man and a woman be 'M' and 'W' units/day respectively. So, 18 X 10 X 28 X M = 21 X 8 X 40 X W Or, M:W = 4:3 Let 'M' = '4e' and 'W' = '3e' Let the required time be 'T' days. So, (15 X 4e + 20 X 3e) X 12 X T = 18 X 10 X 28 X 4e Or, 120 X 12 X T = 18 X 10 X 112 Or, 'T' = 14 days
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