Pipes and Cisterns
Pipes and Cisterns is a Aptitude concept from the MPSC syllabus, tested in 3 past MPSC questions (2016, 2021, 2022). Below are those real questions with their correct answers and explanations, plus the concepts worth being comfortable with first.
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अ, ब आणि क नळांनी स्वतंत्रपणे एक टाकी अनुक्रमे 12, 15 आणि 20 तासात भरली जाते किंवा रिकामी होते. एकाच वेळी ब आणि क नळाच्या सहाय्याने टाकी भरण्यास प्रारंभ केला आणि अ नळाच्या सहाय्याने टाकी रिकामी करण्यास सुरुवात केली तर किती तासानी टाकी पूर्ण भरलेल्या स्थितीला असेल ?
Calculate the net work done per hour where pipes B and C fill while pipe A empties. Using the combined rate equation (1/B + 1/C - 1/A), find the total time to fill the tank.
एक नलिकेने एक टाकी 4½ तासात भरते. पण बुडाशी असलेल्या गळतीमुळे ती भरण्यासाठी 1½ तास जादा लागतात. जर ही टाकी पूर्ण भरलेली असेल तर गळतीमुळे ती रिकामी व्हायला लागणारी वेळ निवडा. A pipe can fill the tank in 4½ hours. But due to leakage at the bottom, it takes 1½ hours more to fill it. If the tank is full select the time that it will require to get emptied due to leak.
Normal time = 4.5 hrs. Time with leak = 4.5 + 1.5 = 6 hrs. Let leak empty in x hours. Net rate = (1/4.5) - (1/x) = 1/6, solving gives x = 18 hours.
A आणि B एक काम अनुक्रमे 15 आणि 10 दिवसांमध्ये पूर्ण करतात. दोघांनी एकत्र काम करण्यास सुरुवात केली, परंतु दोन दिवसांनंतर B ला काम सोडावे लागले आणि उरलेले काम A ने पूर्ण केले. हे काम किती दिवसांमध्ये पूर्ण झाले ? / A and B can complete a work in 15 days and 10 days respectively. They started doing the work together, but after 2 days B had to leave and A alone completed the remaining work. In how many days was the work completed?
A's 1-day work = 1/15, B's = 1/10. Work done by both in 2 days = 2 * (1/15 + 1/10) = 1/3. Remaining work = 2/3. A completes 2/3 work in (2/3) * 15 = 10 days. Total days = 2 + 10 = 12.