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Multiple Choice Questions

15 Men and 12 Women can complete the work in how many days ........

Quantitative Aptitude(IBPS PO) Time and work

Directions: Answer the question based on the information given below: X men can complete a work in Y days. Y women can complete the work in X days. 20 men and 16 women working together can complete the same work in 53 1/3 days.

15 Men and 12 Women can complete the work in how many days?

This questions was previously asked in

IBPS PO Mains (26th November 2022)

View All IBPSPO Previous Year Papers

72 2/5

72 1/5

71 /3/7

71 1/9

75 1/3

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Explanation:

X men can complete the work in Y days,
1 man can complete the whole work in XY days.
Y women can complete the work in X days,
1 woman can complete the whole work in XY days.

So, Total work=XY and efficiency of each=1.
It is given that 20 men and 16 women can complete the work in 53 1/3 days = 160/3 days.
So,

Efficiency of 20 men and 16 women=36

Total work=efficiency x Time=36 x 160/3 =1920

So the total work is 1920.

15 Men and 12 Women efficiency=15+12=27

Time taken to complete the work =total work/efficiency=1920/27=71 1/9

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