IBPS Clerk Prelims Model Paper 10

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

1

x

+

1

y

=

1

30

... (1)

1

y

+

1

z

=

1

24

... (2)

1

z

+

1

x

=

1

20

... (3)
adding equ (1), (2) and (3)
2(

1

x

+

1

y

+

1

z

) =

1

8

⇒

1

x

+

1

y

+

1

z

=

1

16

... (4)
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

or x = 48
A alone can finish the Remaining work in

3

8

×48 = 18 days