AFCAT II 2014 Solved Paper

Let A,B and C individually complete the work in x, y andz days respectively.
‌‌

1

x

+‌‌

1

y

=‌‌

1

30

‌‌‌‌...‌(1)‌
‌‌

1

y

+‌‌

1

z

=‌‌

1

24

‌‌‌‌...‌(2)‌
‌‌

1

z

+‌‌

1

x

=‌‌

1

20

‌‌‌‌...(3)

A,B and C together complete the work in 16 days.
In 10 days they completed

10

16

=

5

8

part
Remaining work = 1−

5

8

=

3

8

Subtracting equ (2) from (4)
we get,

1

x

=

1

48

orx=48
A alone can finish the Remaining work in

3

8

×48=18 days