24 men can complete a piece of work in 10 days and 16 women can complete the same piece of work in 20 days. What is the respective ratio between the amount of work done by 30 men in 1 day and the amount of work done by 20 women in 1 day?
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6 : 5
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3 : 1
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2 : 1
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4 : 3
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None of these
C
Correct answer
Explanation
24 men complete work in 10 days, so 24 men do 1/10 of work per day. 30 men in 1 day do: (30/24) * (1/10) = 30/240 = 1/8 of work. 16 women complete work in 20 days, so 16 women do 1/20 of work per day. 20 women in 1 day do: (20/16) * (1/20) = 20/320 = 1/16 of work. Ratio = (1/8) : (1/16) = 2 : 1. Option C is correct.