RRB Technician Grade 3 practice question
Pipe A can fill a workshop cistern in 10 hours and pipe B can fill it in 14 hours. There is also a leak in the tank. When A, B and the leak are all left on together, the tank gets completely filled in 7 hours. In how many hours can the leak alone empty a full tank?
From a RRB Technician Grade 3 Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (C) 35 hours
Combined rate of A and B = 1/10 + 1/14 per hour.
With the leak, net rate = 1/7 per hour.
Leak's rate = (1/10 + 1/14) − 1/7 = 1/35 per hour.
Leak alone empties the full tank in 1/(1/35) = 35 hours.
हिंदी में प्रश्न
पाइप A वर्कशॉप की टंकी को 10 घंटे में तथा पाइप B उसे 14 घंटे में भर सकता है। टंकी में एक रिसाव भी है। जब A, B और रिसाव तीनों एक साथ चालू रहते हैं, तो टंकी 7 घंटे में पूरी भर जाती है। अकेला रिसाव पूरी भरी टंकी को कितने घंटे में खाली कर देगा?
उत्तर जाँचने के लिए किसी विकल्प पर टैप करें।
उत्तर और व्याख्या देखें
सही उत्तर: (C) 35 घंटे
A और B की मिली-जुली दर = 1/10 + 1/14 प्रति घंटा।
रिसाव के साथ नेट दर = 1/7 प्रति घंटा।
रिसाव की दर = (1/10 + 1/14) − 1/7 = 1/35 प्रति घंटा।
अकेला रिसाव पूरी टंकी को 1/(1/35) = 35 घंटे में खाली करेगा।
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