Subject: General Aptitude · Chapter: Time and Work · Exam: · Marks: · Difficulty:
Two workers A and B working together completed a job in 5 days. If A worked twice as efficiently as he actually did and B worked $\frac{1}{3}$ as efficiently as he actually did, the work would have been completed in 3 days. A alone could complete the work in :
(a)$5 \frac{1}{4}$ days
(b)$6 \frac{1}{4}$ days
(c)$7 \frac{1}{2}$ days
(d)None of these
Answer
Answer (as printed): B
Explanation
Let A’s 1 day’s work = x and B’s 1 day’s work = y. 1 1 1 Then, x + y = and 2 x + y = . 5 3 3 4 1 Solving, we get : x = and y = . 25 25 4 ∴ A’s 1 day’s work = . 25 25 1 So, A alone could complete the work in = 6 days. 4 4 1 1
Explanation as extracted from the printed page; notation may be imperfect.