AP Police SI previous year question
A person travels 12 km at initial speed, then 6 km at speed ½ kmph faster. Travelling the entire distance at the increased speed would take 20 min less (than actual). Time (hrs) to cover entire distance at the initial speed is
Asked in AP Police SI Prelims: 2023 (Paper I & II) · Quantitative Aptitude
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Correct answer: (B) 4½
Let v = initial speed. Actual time − time at increased speed for full 18km = 1/3 hr: 12/v − 12/(v+0.5) = 1/3, giving 2v²+v−36=0 → v = 4 km/hr. Time at initial speed for 18km = 18/4 = 4½ hrs.
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हिंदी में प्रश्न
एक व्यक्ति प्रारंभिक चाल से 12 किमी और फिर उससे ½ किमी/घंटा अधिक चाल से 6 किमी की यात्रा करता है। यदि वह पूरी दूरी बढ़ी हुई चाल से तय करता, तो वास्तविक समय से 20 मिनट कम लगते। पूरी दूरी को प्रारंभिक चाल से तय करने में लगने वाला समय (घंटे) है
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सही उत्तर: (B) 4½
मान लीजिए v = प्रारंभिक गति। वास्तविक समय − बढ़ी हुई गति पर पूरे 18 किमी के लिए समय = 1/3 घंटा: 12/v − 12/(v+0.5) = 1/3, जिससे 2v²+v−36=0 → v = 4 किमी/घंटा। प्रारंभिक गति पर 18 किमी के लिए समय = 18/4 = 4½ घंटे।
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