AFCAT Model Paper 2

Given:
A and B together can finish a work in 45 days
They worked for it for 36 days and then B left the work
The remaining work was done by A alone in 16 days more
Concept Used:
Work done in 1 day by a worker =

1

n

Where n = Number of days to complete a work by the worker
Calculation:
Work done by A and B together in one day =

1

45

Work done by A and B together in 36 days =

36

45

=

4

5

Amount of work left when B left the work =1–

4

5

=

1

5

Work done by A alone in one day =

( 1 5 )

16

=

1

80

Time taken by A alone to finish the work =

1

( 1 80 )

=80 days
∴ Time taken by A alone to finish the work = 80 days