Time and Work
PART-B Unit I: Aptitude
Level 1: Easy
Direct Rate, Formula & Two-Person Problems (Questions 1 – 5)
Question 01
\(A\) can do a piece of work in 12 days and \(B\) can do the same work in 24 days. In how many days can both finish the work together?
Correct Answer: (B) 8 days
Explanation:
Method 1: Direct Formula
Total Work = \(\text{LCM}(12, 24) = 24\text{ units}\).
1 day work of \(A =
$$\text{Time taken together} = \frac{x \times y}{x + y}$$
Here, \(x = 12\), \(y = 24\).
$$\text{Days} = \frac{12 \times 24}{12 + 24} = \frac{288}{36} = 8\text{ days}$$
Method 2: LCM / Work Units MethodTotal Work = \(\text{LCM}(12, 24) = 24\text{ units}\).
1 day work of \(A =
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