दो स्टेशन R और S एक दूसरे से 400 किमी दूर हैं। एक ट्रेन R से S के लिए निकलती है और साथ ही दूसरी ट्रेन S से R के लिए निकलती है। दोनों ट्रेन 10 घंटे बाद मिलती हैं। यदि पहली ट्रेन की गति, दूसरी ट्रेन से 4 किमी/घंटा अधिक है, तो धीमी ट्रेन की गति कितनी है?

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SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 4)
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  1. 18 किमी/घंटा
  2. 26 किमी/घंटा
  3. 16 किमी/घंटा
  4. 22 किमी/घंटा

Answer (Detailed Solution Below)

Option 1 : 18 किमी/घंटा
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PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
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Detailed Solution

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दिया गया है:

R और S के बीच की दूरी = 400 किमी

ट्रेनों की गति का अंतर = 4 किमी/घंटा

प्रयुक्त सूत्र:

दूरी = सापेक्ष गति × समय

गणना:

माना ट्रेन A की गति = S1

माना ट्रेन B की गति = S2

प्रश्नानुसार:

सापेक्ष गति × समय = दूरी

⇒ (S1 + S2) × 10 = 400

⇒ (S1 + S2) = 40 --------- (1)

और

⇒ (S1 - S2) = 4 --------- (2)

समीकरण (1) और (2) को हल करने पर,

S2 = (40 - 4)/2 = 36/2 = 18 किमी/घंटा

∴ सही उत्‍तर 18 किमी/घंटा है

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