SSC GD Constable previous year question

Z1, Z2 and Z3 can do a work in 100, 50 and 75 days respectively. All three of them began the work together but Z2 left 15 days before the completion of the work. In how many days was the work completed?

Asked in SSC GD Constable 2024: 21 Feb 2024 Shift 4 · Quantitative Aptitude

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Correct answer: (D) 30 days

Let total time=T. Z² works (T−15), Z1 and Z³ work T: 3T/300+6(T−15)/300+4T/300=1 ⟹ 13T=390 ⟹ T=30 days.

हिंदी में प्रश्न

Z1, Z2 और Z3 एक काम को क्रमशः 100, 50 और 75 दिनों में पूरा कर सकते हैं। उन तीनों ने एक साथ मिलकर काम शुरू किया लेकिन Z2 ने काम पूरा होने से 15 दिन पहले काम छोड़ दिया। काम कितने दिनों में पूरा हुआ?

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सही उत्तर: (D) 30 दिन

Let total time=T. Z² works (T−15), Z1 and Z³ work T: 3T/300+6(T−15)/300+4T/300=1 ⟹ 13T=390 ⟹ T=30 days.

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Z1, Z2 and Z3 can do a work in 100, 50 and 75 days respectively. All three of them began the work together but Z2 left 15 days before the completion of the work. In how many days was the work completed?

हिंदी में प्रश्न

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