ABC26GN3457 · Time and Work

Subject: General Aptitude · Chapter: Time and Work · Exam: 2010 · Marks: · Difficulty:

A is twice as good a workman as B. If they work together, they can complete a job in 18 days. If A alone does the job, in how many days he will complete the job?
(a)27 days
(b)36 days
(c)40 days
(d)54 days
Answer
Answer (as printed): A
Explanation
(A's 1 day's work) : (B's 1 day's work) = 2:1. (A+B)'s 1 day's work $=\frac{1}{18}$. $\therefore$ A's 1 day's work $=\frac{2}{3} \times \frac{1}{18}=\frac{1}{27}$. Hence, A alone can finish the work in 27 days.

Explanation as extracted from the printed page; notation may be imperfect.

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