Amount of work done by A in one week
=Amount of work done by V in one week
=Amount of work done by Y in one week
=Therefore Amount of work done by A, V and Y in one week
=++= They work together for 2 weeks therefore work done in these 2 weeks is
= Amount of work remaining is
1−=Amount of work done by V and Y in one week
=+=If total number of weeks required to complete the work is n then only V and Y work together for
(n−3) weeks
Therefore work done in these (n-3) weeks is
=Remaining
− is completed by Y in one week
Therefore
−=Solving we get n = 4
Therefore The job would be completed in 4 weeks
Therefore our answer is option 'A'