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In the following question, two statements are numbered as I and II. On solving these statements, we get quantities I and II respectively. Solve for the both quantities and choose the correct option. 10 women and 12 men complete a certain piece of work in 30 days, if each woman takes thrice the time taken by a man to finish the work. Quantity I – How many days will 17 men and 33 women can take to finish the same work? Quantity II – How many days will 26 men and 12 women can take to finish the same work?

In the following question, two statements are numbered as I and II. On solving these statements, we get quantities I and II respectively. Solve for the both quantities and choose the correct option. 10 women and 12 men complete a certain piece of work in 30 days, if each woman takes thrice the time taken by a man to finish the work. Quantity I – How many days will 17 men and 33 women can take to finish the same work? Quantity II – How many days will 26 men and 12 women can take to finish the same work? Correct Answer Quantity I > Quantity II 

17 m + 33 women = 17 m + 11 m = 28 men (in Quantity I).

26 m + 12 women = 26 m + 4 m = 30 men (in Quantity II).

Clearly 30 men will take less days to complete a work than 28 men.

∴ Quantity I > Quantity II 

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