SSC GD Constable previous year question
A and B can do a piece of work in 25 days and 30 days, respectively. They worked together for 6 days, after while B was replaced by P and the work was finished in the next 8 days. How long will P alone take to complete the same work?
Asked in SSC GD Constable 2025: 10 Feb 2025 Shift 1 · Quantitative Aptitude
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Correct answer: (C) 33⅓ days
Work done by A+B in 6 days = 6(1/25+1/30) = 11/25; remaining work = 14/25 done by A+P in 8 days; solving gives P's rate, and time for P alone = 33⅓ days.
हिंदी में प्रश्न
A और B एक कार्य को क्रमशः 25 दिन और 30 दिन में कर सकते हैं। उन्होंने 6 दिनों तक साथ काम किया, इसके बाद B को P से बदल दिया गया और अगले 8 दिनों में कार्य पूरा हो गया। P अकेले उसी कार्य को पूरा करने में कितना समय लेगा?
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सही उत्तर: (C) 33⅓ दिन
6 दिनों में A+B द्वारा किया गया कार्य = 6(1/25+1/30) = 11/25; शेष कार्य = 14/25, जो A+P द्वारा 8 दिनों में किया गया; हल करने पर P की दर मिलती है, और P अकेले के लिए समय = 33⅓ दिन।
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