# Arithmetic Aptitude :: Time and Work

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## 10. 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 ?

**Answer:**

**Option C**

**Explanation :**

A's 1 day's work = x

and B's 1 day's work = y

So (A & B) 1 day work = 1/30 => x+y =1/30

=> 30x + 30y = 1 -------- (1)

So 16x + 44y = 1 -------- (2)

By Solving above two equations,

x = 1/60 and y = 1/60

B's 1 day's work = 1/60

Hence, B alone shall finish the whole work in 60 days.

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