SSC GD Constable previous year question
A and B can complete a work in 25 days and 30 days respectively. They worked together for 6 days, after which B was replaced by P, and the work was completed in the next 8 days. How much time will P alone take to complete the same work?
Asked in SSC GD Constable 2025: 10 Feb 2025 Shift 1 (Morning) · Quantitative Aptitude
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Correct answer: (B) 33 1/3 days
Work done by A+B in 6 days = 6(1/25+1/30) = 6(11/150) = 11/25. Remaining work = 14/25, done by P in 8 days, so P's 1-day work = 14/200 = 7/100; P alone takes 100/7 ≈ 14.3 days for remaining but full work takes 100/3=33 1/3 days.
हिंदी में प्रश्न
A और B किसी कार्य को क्रमशः 25 दिनों और 30 दिनों में पूरा कर सकते हैं। उन्होंने 6 दिनों तक साथ मिलकर कार्य किया, उसके बाद B के स्थान पर P आ 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: (B) 33 1/3 दिन
A+B द्वारा 6 दिनों में किया गया कार्य = 6(1/25+1/30) = 11/25। शेष कार्य = 14/25, जिसे P ने 8 दिनों में किया, अतः P का 1 दिन का कार्य = 14/200; पूरा कार्य P अकेले 100/3 = 33 1/3 दिनों में करेगा।
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