[A]. 30 days
[B]. 40 days
[C]. 60 days
[D]. 70 days
✅ The correct answer is option C.
Let A’s 1 day’s work = x and B’s 1 day’s work = y.
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
B’s 1 day’s work =
1
.
60
Hence, B alone shall finish the whole work in 60 days.