SSC GD Constable previous year question
Ram, Ravi and Reena can do a piece of work in 16, 20 and 24 days, respectively. They began the work together but Ravi left the work 5 days before the completion of the work. In how much time did they finish the work together?
Asked in SSC GD Constable 2025: 11 Feb 2025 Shift 1 · Quantitative Aptitude
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Correct answer: (C) 8 4/37 days
Let total time = T. Work done: T(1/16+1/20+1/24) − 5×(1/20) = 1. Solving with LCM 240: T(37/240) = 1 + 5/20 = 1.25 → T = 1.25×240/37 = 300/37 = 8 4/37 days.
हिंदी में प्रश्न
राम, रवि और रीना एक कार्य को क्रमशः 16, 20 और 24 दिनों में कर सकते हैं। उन्होंने कार्य एक साथ शुरू किया लेकिन रवि कार्य पूरा होने से 5 दिन पहले कार्य छोड़कर चला गया। उन्होंने कार्य को एक साथ कितने समय में पूरा किया?
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सही उत्तर: (C) 8 4/37 दिन
कुल समय T मान लें। T(1/16+1/20+1/24) − 5×(1/20) = 1। LCM 240 से हल करने पर: T(37/240) = 1.25 → T = 1.25×240/37 = 300/37 = 8 4/37 दिन।
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