A and B together can do a piece of work in 30 days. A having worked f…

Question

A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?

Accepted Answer

Option C. 60 days. Answer & Solution Answer: Option C Solution: & Let\, A's\, 1\, day's\, work = x\, and & B's\, 1\, day's\, work = y & Then,\,x + y = 130 & 16x + 44y = 1 & Solving\, these\, two\, equations,\, we\, get & x = 160\, and\,y = 160 & B's\, 1\, day's\, work = 160 & Hence,\, B\, alone\,…