AFCAT Model Paper 1

Given:
Time taken by Ramesh and Rajesh to do the work together = 12 days
Calculation:
Let the time taken by Ramesh and Rajesh to do the work alone be x and y respectively.
Then, Ramesh’s and Rajesh’s 1 day work is equal to

1

x

and

1

y

respectively
⇒ (

1

x

)+(

1

y

)=

1

12

...(i)
Ramesh reduced his efficiency by half then time taken to complete the work by both of them is increased by 50%.
⇒ Ramesh’s 1 day work =

1

2x

⇒ Time taken by them to finish the work =12×(

150

100

)=18 days
⇒

1

2

x+

1

y

=

1

18

...(ii)
Solving (i) and (ii)
x = 18 and y = 36
∴ Time taken by Rajesh to finish the work alone is 36 days