A रेल्वे काझीपेट येथून पहाटे 5 वाजता सुटते आणि दुपारी 3 वाजता बंगलोरला पोहोचते. दुसरी B रेल्वे सकाळी 7 वाजता बंगलोरहून सुटते आणि संध्याकाळी 5 वाजता काझीपेटला पोहोचते. तर दोन रेल्वे एकमेकांना कधी भेटतात? रेल्वे समान वेगाने प्रवास करतात असे गृहीत धरा.

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RRB ALP Previous Paper 3 (Held On: 9 Aug 2018 Shift 3)
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  1. दुपारी 1 वाजता 
  2. दुपारी 12 वाजता
  3. सकाळी 11 वाजता 
  4. सकाळी 10 वाजता 

Answer (Detailed Solution Below)

Option 3 : सकाळी 11 वाजता 
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Detailed Solution

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वेग x किमी/तास समजू 

तर, स्थानकांमधील अंतर = 10x किमी

जेव्हा गाड्या विरुद्ध दिशेने प्रवास करत असतात, तेव्हा सापेक्ष वेग = 2x किमी/तास.

A रेल्वे पहाटे 5 वाजता आणि रेल्वे सकाळी 7 वाजता सुटते,

⇒ A ने 2 तासात प्रवास केलेले अंतर = 2x

⇒ उर्वरित अंतर = 10x - 2x = 8x

⇒ भेटण्याची वेळ = 8x/2x = 4 तास

∴ 4 तासांनंतर, सकाळी 11 वाजता B रेल्वे A रेल्वेला भेटेल.

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