Question

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Answer (Detailed Solution Below)

Option 3 : 2.5 hours / 2.5 घंटे

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Detailed Solution

सही उत्तर 2.5 hours / 2.5 घंटे है।

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Question:

Tap A can fill a tank in 6 hours and tap B in 8 hours. Both taps were opened together, but B was closed after 2 hours. In how much time will A alone fill the remaining tank? / नल क एक टंकी को 6 घंटे में और नल ख 8 घंटे में भर सकता है। दोनों नल एक साथ खोले गए, पर 2 घंटे बाद ख बंद कर दिया गया। शेष टंकी क अकेला कितने समय में भरेगा?

1.
2 hours / 2 घंटे
2.
3 hours / 3 घंटे
3.
2.5 hours / 2.5 घंटे
4.
4 hours / 4 घंटे

Correct Answer: 2.5 hours / 2.5 घंटे

Part filled in 2 hours = 2 × (1/6 + 1/8) = 2 × 7/24 = 7/12. Remaining part = 5/12, so time for A = (5/12) × 6 = 2.5 hours. / 2 घंटे में भरा भाग = 2 × (1/6 + 1/8) = 2 × 7/24 = 7/12। शेष भाग = 5/12 ⇒ क को समय = (5/12) × 6 = 2.5 घंटे.

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