If A alone can do a piece of work in 12 days and B alone can do it in 18 days, in how many days can both of them together complete it?
यदि A अकेला किसी काम को 12 दिनों में कर सकता है और B अकेला उसे 18 दिनों में कर सकता है, तो वे दोनों मिलकर उसे कितने दिनों में पूरा कर सकते हैं?
Answer और ExplanationAnswer and explanation
Answer: (B) 7.2 days
कुल कार्य = LCM(12, 18) = 36 units
A = 3 units/day, B = 2 units/day ⇒ मिलकर 5 units/day
समय = 365 = 7.2 दिन
✓
दोनों मिलकर 7.2 दिन लेंगे।
Total work = LCM(12, 18) = 36 units
A = 3 units/day, B = 2 units/day ⇒ together 5 units/day
Time = 365 = 7.2 days
✓
Together they take 7.2 days.
SMART APPROACH
दो व्यक्तियों के लिए साथ का समय = गुणनफलयोग = 12 × 1812 + 18 = 21630 = 7.2 दिन।
For two people, together time = productsum = 12 × 1812 + 18 = 21630 = 7.2 days.
Source: Selection Post Phase XIV (10th) · 23 Sep 2026 · Shift 3। Solution: Prashant Sir, Vijayastra।Source: Selection Post Phase XIV (10th) · 23 Sep 2026 · Shift 3. Solution by Prashant Sir, from Vijayastra.