alleryएक पाईप एक टाकी 6 तासांत भरतो, तर एक आउटलेट ती 8 तासांत रिकामी करतो. दोन्ही उघडे असताना टाकी भरण्यास लागणारा वेळ:
A14 तास
B20 तास
C48 तास
D24 तास
Answer & Solution
Correct answer: D. 24 तास
1. इनलेट पाईप दर तासाला टाकीचा 1/6 भाग भरतो.
2. आउटलेट पाईप दर तासाला टाकीचा 1/8 भाग रिकामा करतो.
3. निव्वळ भरण्याचा दर 1/6 - 1/8 आहे.
4. सामाईक छेद 24 घेतल्यास, तो प्रति तास 4/24 - 3/24 = 1/24 होतो.
5. म्हणून टाकी 24 तासांत भरते. वजाबाकी करण्याऐवजी दरांची बेरीज केल्यास सुमारे 3.4 तास येतील, ज्यामुळे एक पाईप दुसऱ्या पाईपाविरुद्ध काम करतो याकडे दुर्लक्ष होईल.
_Source: syllabus Maths, Ch 11 'Direct and Inverse Proportions', S11.3 Inverse Proportion_
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