SSC GD Constable previous year question
X1, X2 and X3 can complete a work in 90, 45 and 67.5 days respectively. All three started the work together, but X2 left the work 13.5 days before its completion. In how many days was the work completed?
Asked in SSC GD Constable 2024: 20 Feb 2024 Shift 4 · Quantitative Aptitude
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Correct answer: (C) 27 days
Let total time=T. X2 works (T−13.5), X1 and X3 work T: 3T/270+6(T−13.5)/270+4T/270=1 ⟹ 13T=351 ⟹ T=27 days.
हिंदी में प्रश्न
X1, X2 और X3 एक काम को क्रमशः 90, 45 और 67.5 दिनों में पूरा कर सकते हैं। तीनों ने एक साथ मिलकर काम शुरू किया, लेकिन X2 ने काम पूरा होने से 13.5 दिन पहले ही काम छोड़ दिया। काम कितने दिनों में पूरा हुआ?
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सही उत्तर: (C) 24 दिन
Let total time=T. X2 works (T−13.5), X1 and X3 work T: 3T/270+6(T−13.5)/270+4T/270=1 ⟹ 13T=351 ⟹ T=27 days.
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