AFCAT Model Paper 2

Given:
9 women can complete a piece of work in 360 days
18 children can complete the same piece of work in 72 days
12 men can complete it in 162 days
Concept Used:
Work done by a person in 1 day =

1

n

Where n = Number of days to complete the whole work by that person
Calculation:
1 woman's 1 day's work =

1

360

×

1

9

=

1

3240

10 women's 1 day's work =

1

324

1 child's 1 day's work =

1

72

×

1

18

=

1

1296

4 children's 1 day's work =1×

4

1296

=

1

324

12 men's 1 day's work =

1

162

Now, (4 children +12 men +10 women)'s 1 day's work =

1

324

+

1

162

+

1

324

(4 children +12 men +10 women)'s 1 day's work =

1

324

+

2

324

+

1

324

=

4

324

=

1

81

∴ Hence, the required number of days is 81 days