IBPS SO Prelims Exam Model Paper 8

Given:
(P + Q)’s 1 day's work =

1

6

(Q + R)’s 1 days work =

1

16

(P + R)’s 1 day's work =

7

48

Calculation:

1

P

–

1

R

=

1

6

–

1

16

=

5

48

⇒

1

P

+

1

R

=

7

48

Solving,

1

P

=

1

8

⇒

1

R

=

1

48

⇒

1

Q

=

1

6

–

1

8

=

1

24

Then,
(P + Q + R)’s 1 days work = (

1

2

)× (

1

6

+

1

16

+

7

48

) =

3

16

(P + Q + R)’s 4 days work = 4 × (

3

16

) =

3

4

⇒ Remaining work = 1 – (

3

4

) =

1

4

∴ Time taken by Q to complete the remaining work = (

1

4

) × 24 = 6 days.