52.A and B together can do a piece of work in 30 days.A having worked for 16 days, B finishes the remaining work in 44 days. In how many days shall B finish the whole work alone?
A. 30 days B. 40 days
C. 60 days D. 70 days
Answer:
A's 1 day's work = x
B's 1 day's work = y
Then, x+y = 1/30 and 16x+44y = 1.
Solving these two equations, we get x=1/10 and y=1/60
Therefore B's 1 day's work= 1/60.