इंजिनमध्ये बिघाड झाल्यामुळे एक्स्प्रेस आपल्या नेहमीच्या वेगाच्या 9/10 व्या वेगाने जाते आणि दुपारी 2 : 28  ऐवजी 2 : 34 वाजता पोहोचते. रेल्वेची सुरुवात किती वाजता झाली?

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  1. दुपारी 1:32 वाजता 
  2. दुपारी 1:34 वाजता 
  3. दुपारी 1:36 वाजता 
  4. दुपारी 1:40 वाजता 

Answer (Detailed Solution Below)

Option 2 : दुपारी 1:34 वाजता 
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दिलेल्याप्रमाणे,

इंजिनमध्ये बिघाड झाल्यामुळे एक्स्प्रेस आपल्या नेहमीच्या वेगाच्या 9/10 व्या वेगाने जाते आणि दुपारी 2 : 28  ऐवजी 2 : 34 वाजता पोहोचते.

संकल्पना:

दोन रेल्वेच्या वेगाचे गुणोत्तर = x : y

दोन रेल्वेच्या वेळाचे गुणोत्तर = y : x

आपल्याला माहित आहे की, वेळ वेगाच्या विपरीत प्रमाणात आहे.

गणना:

वेळेतील फरक = 2:34 – 2:28 = 0:06 मिनीट

एक्सप्रेस रेल्वेचा वेग 10 पट समजा

⇒ इंजिनमध्ये बिघाड झाल्यानंतर रेल्वेचा वेग = 10x × 9/10 = 9x

रेल्वेच्या वेगाचे गुणोत्तर = 10x : 9x

⇒ रेल्वेच्या वेळाचे गुणोत्तर = 9x : 10x

दिलेल्या प्रश्नानुसार,

10x – 9x = 6 मिनीटे

⇒ x = 6 मिनीटे

⇒ मुळ वेळ = 10 × 6 = 60 मिनीटे = 1 तास

∴ रेल्वे सुरू होईल ती योग्य वेळ = 2:34 – 1:00 = दुपारी 1:34 वाजता

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