Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?
papay dey Answered question February 15, 2025
📊 Work and Capacity Calculation 📊
Let’s calculate the total work done by each group:
Work done by 20 women in 16 days = 1 (total work)
Work done by 1 woman in 1 day = 1 / (20 × 16) = 1/320Work done by 16 men in 15 days = 1 (total work)
Work done by 1 man in 1 day = 1 / (16 × 15) = 1/240Now, let’s find the ratio of the capacity of a man to a woman:
Capacity ratio = (Work done by 1 man in 1 day) / (Work done by 1 woman in 1 day)
= (1/240) / (1/320)
= (1/240) × (320/1)
= 320/240
= 4/3📊 The ratio of the capacity of a man to a woman is 4:3. 📊
papay dey Answered question February 15, 2025
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