8.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?
A. 30 days
B. 40 days
C. 60 days
D. 70 days
Answer:
Option : C
Let A's 1 day's work = x and B's 1 day's work = y.
|
Then, x + y =
|
1
|
and 16x + 44y = 1.
|
30
|
Solving these two equations, we get: x =
|
1
|
and y =
|
1
|
60
|
60
|
Hence, B alone shall finish the whole work in 60 days.
|
