Ashok can do a piece of work in 80 days. He works at it for 10 days and then Bhuwnesh alone finishes the work in 42 days. The number of days taken by the two together to finish the work, is
Ashok's 10 day's work = 10/80 = 1/8
Remaining work = (1 - 1/8) = 7/8
7/8 work is done by Bhuwnesh is 42 days
therefore whole work will be done by B in (42* 8/7) = 48 days
Therefore (Ashok + Bhuwnesh)'s 1 day's work = 1/80 + 1/48 = 1/30
Hence both together can finish the work in 30 days.