Subject: General Aptitude · Chapter: Time and Work · Exam: 2007 · Marks: · Difficulty:
A sum of money is sufficient to pay A's wages for 21 days and B's wages for 28 days. The same money is sufficient to pay the wages of both for :
(a)12 days
(b)$12 \frac{1}{4}$ days
(c)14 days
(d)$24 \frac{1}{2}$ days
Answer
Answer (as printed): A
Explanation
Let total money be $₹x$. A's 1 day's wages $=₹\frac{x}{21}$, B's 1 day's wages $=₹\frac{x}{28}$. $\therefore$ (A+B)'s 1 day's wages $=₹\left(\frac{x}{21}+\frac{x}{28}\right)=₹\frac{x}{12}$. $\therefore$ Money is sufficient to pay the wages of both for 12 days.
Explanation as extracted from the printed page; notation may be imperfect.