37 किमी की दूरी तय करते समय, एक व्यक्ति ने देखा कि 1 घंटा 5 मिनट साइकिल चलाने के बाद, उसके द्वारा तय की गई दूरी, शेष दूरी की 4/3 थी। उसकी गति (किमी/घंटा में, एक दशमलव स्थान तक पूर्णांकित) कितनी थी?

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RRB NTPC Graduate Level CBT-I Official Paper (Held On: 05 Jun, 2025 Shift 2)
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  1. 14.5
  2. 19.5
  3. 21.5
  4. 23.1

Answer (Detailed Solution Below)

Option 2 : 19.5
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दिया गया है:

कुल दूरी = 37 किमी

साइकिल चलाने का समय = 1 घंटा 5 मिनट

तय की गई दूरी = शेष दूरी की 4/3

प्रयुक्त सूत्र:

दूरी = गति × समय

गणना:

⇒ समय = 1 + 5/60 = 13/12 घंटे

⇒ माना गति = v किमी/घंटा

⇒ तय की गई दूरी = v × 13/12

शेष दूरी = 37 - v × 13/12

य की गई दूरी = शेष दूरी की 4/3

⇒ v × 13/12 = 4/3 × (37 - v × 13/12)

13v = 16 × (37 - 13v/12)

⇒ 13v = 592 - 52v/3

⇒ 39v = 1776 - 52v

⇒ 91v = 1776

⇒ v = 1776/91 ≈ 19.5 किमी/घंटा

∴ सही उत्तर विकल्प 2 है।

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