9 children can complete a piece of work in 360 days. 18 men can complete the same piece of work in 72 days and 12 women can complete the piece of work in 162 days. In how many days can 4 men, 12 women and 10 children together complete the piece of work ?

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BANK PO Exam (Corporation Bank) 2006 click here to view all questions

9 children can complete a piece of work in 360 days. 18 men can complete the same piece of work in 72 days and 12 women can complete the piece of work in 162 days. Inhow many days can 4 men, 12 women and 10 children together complete the piece of work ?

A124

B 81

C68

D96

Akilesh Kharvi ? May 29 '2017 at 9:4

Answer is : 81

Explanation:

Clearly,

9 × 360 children = 18 × 72 men

= 12 × 162 women

=>45 children =18 men = 27 women

=>5 children = 2 men = 3 women

Now, 4 men +12 women +10 children

= 4 men + 8 men + 4 men = 16 men

\(\therefore\)18 men can complete the work in 72 days.

16 men can complete the work in\( =\frac{ 18\times72}{16}\) = 81 days

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