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Time and Work - General Aptitude

Q1:

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

ANS:C - 60 days

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.