RRB Technician Grade 3 previous year question
A, B, C, and D can do a piece of work in 12, 15, 20, and 30 days, respectively. All start together, but D leaves after 2 days, C leaves 3 days before the completion, and B leaves 2 days before the completion. Determine the total time required to complete the work.
Asked in RRB Technician Grade 3 (06 Mar 2026 Shift 1) · Quantitative Aptitude
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Correct answer: (C) 6 days 2 hours
With A,B,C,D's rates 1/12,1/15,1/20,1/30 and D leaving after 2 days, C leaving 3 days before end, B leaving 2 days before end, solving T/12+(T-2)/15+(T-3)/20+2/30=1 gives T=73/12=6 days 2 hours.
हिंदी में प्रश्न
A, B, C और D एक काम को क्रमशः 12, 15, 20 और 30 दिनों में पूरा कर सकते हैं। सभी एक साथ काम शुरू करते हैं, लेकिन 2 दिन बाद D काम छोड़ देता है, C काम पूरा होने से 3 दिन पहले तथा B काम पूरा होने से 2 दिन पहले काम छोड़ देता है। काम पूरा होने में लगने वाला कुल समय ज्ञात कीजिए।
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सही उत्तर: (C) 6 दिन 2 घंटे
A,B,C,D की दरें 1/12,1/15,1/20,1/30 हैं। D 2 दिन बाद, C अंत से 3 दिन पहले, B अंत से 2 दिन पहले छोड़ते हैं। समीकरण T/12+(T-2)/15+(T-3)/20+2/30=1 हल करने पर T=73/12=6 दिन 2 घंटे प्राप्त होता है।
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