693 मीटर के वृत्ताकार पथ पर, सुजाता और अंजलि एक ही बिंदु से लेकिन विपरीत दिशाओं में क्रमशः 2.85 किमी/घंटा और 1.5 मीटर/सेकंड की गति से चलना शुरू करती हैं। वे पहली बार कब मिलेंगी?

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SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 1)
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  1. 6.75 मिनट बाद
  2. 6.05 मिनट बाद
  3. 5.04 मिनट बाद
  4. 4.56 मिनट बाद

Answer (Detailed Solution Below)

Option 3 : 5.04 मिनट बाद
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दिया गया है:

सुजाता की गति = 2.85 किमी/घंटा

अंजलि की गति = 1.5 मीटर/सेकंड

उनके बीच की दूरी = 693 मीटर

प्रयुक्त अवधारणा:

जब दो व्यक्ति x किमी/घंटा और y किमी/घंटा की गति से विपरीत दिशाओं में यात्रा करते हैं, तो सापेक्ष गति (x + y) किमी/घंटा होती है।

समय = दूरी/गति

गणना:

2.85 किमी/घंटा = 2.85 × (5/18)

⇒ 0.79 मीटर/सेकंड

सापेक्ष गति = 0.79 + 1.5 = 2.29 मीटर/सेकंड

समय = दूरी/सापेक्ष गति

⇒ समय = 693/2.29

⇒ समय = 302.62 सेकंड

⇒ समय = 5.04 मिनट

वे पहली बार 5.04 मिनट बाद मिलेंगी।

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