A and B can do piece of work in 40 days and 24 days respectively. ∴ Part of work A can do in a day =1∕40 ∴ Part of work B can do in a day =1∕24 Part of work done by A in 8 days =8∕40=1∕5 ∴ Remaining part of work =1−
1
5
=
4
5
∴ Number of days B has to work alone to complete the work =( Remaining part of work )∕( Part of work B can do in a day) =