Question
The amount of work completed by 24 men in 5 hours is
equivalent to the work done by 21 women in 8 hours. A team of 33 men, working 6 hours daily, can finish a task in 15 days. Determine how many days it will take for 14 women, working 9 hours per day, to complete the same task.Solution
Let the efficiency of a man be 'm' units/hour and the efficiency of a woman be 'n' units/hour Then, 24 X m X 5 = 21 X n X 8 Or, m:n = 168:120 = 7:5 So, let the efficiency of a man and of a woman be 7 units/hour and 5 units/hour, respectively. Total work required to complete the task = 33 X 7 X 6 X 15 = 20790 units So, number of days taken by 14 women working 9 days to complete the same task = 20790 ÷ (14 X 5 X 9) = 20790 ÷ 630 = 33 So, required time taken = 33 days
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