एक व्यक्ति P से Q तक 50 किमी/घंटा की गति से यात्रा करता है और अपनी गति में 60% की वृद्धि करके वापस लौटता है। दोनों यात्राओं में उसकी औसत गति कितनी है?

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 3)
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  1. 35.61 किमी/घंटा 
  2. 61.53  किमी/घंटा 
  3. 31.56 किमी/घंटा
  4. 16.53  किमी/घंटा 

Answer (Detailed Solution Below)

Option 2 : 61.53  किमी/घंटा 
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दिया गया है:

एक व्यक्ति P से Q तक 50 किमी/घंटा की गति से यात्रा करता है और अपनी गति में 60% की वृद्धि करके वापस लौटता है।

प्रयुक्त अवधारणा:

औसत गति = 2S1S2/(S+ S2)

यहाँ S1, S2 गति हैं।

गणना:

वापस लौटते समय गति = 50 × 160%

⇒ 80 किमी/घंटा

औसत गति = (2 × 50 × 80)/(50 + 80)

⇒ 8000/130

⇒ 61.53

∴ दोनों यात्राओं की औसत गति 61.53 किमी/घंटा है।

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