Question

A and B can finish a work in 16 days while A alone can do the same work in24
days. In how many days B alone will complete the work?
A. 56
B. 48
C. 36
D. 58

Answer 1

answer is (B) 48
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Answer 2

Answer:

option (B) is correct

Step-by-step explanation:

Concept:

If a man can complete a work in n days, then his 1 day work is $\frac{1}{n}$

Given:

A and B can finish a work in 16 days

(A+B)'s 1 day work = $\frac{1}{16}$......(1)

A alone can do the same work in 24 days

A's 1 day work =$\frac{1}{24}$.........(2)

From(1) and (2)

B's 1 day work=$\frac{1}{16}-\frac{1}{24}$

B's 1 day work=$\frac{3-2}{48}$

B's 1 day work=$\frac{1}{48}$

Therefore, B alone can complete the work in 48 days.