दोन गाड्या समांतर रुळांवर एकाच दिशेने अनुक्रमे 80 किमी/तास आणि 90 किमी/तास वेगाने धावत आहेत. गाड्या 3 मिनिटात एकमेकांना पार केल्या. जर एका ट्रेनची लांबी 230 मीटर असेल तर दुसऱ्या ट्रेनची लांबी (मी मध्ये) किती असेल?

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SSC CGL 2021 Tier-I (Held On : 21 April 2022 Shift 2)
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  1. 250
  2. 270
  3. 300
  4. 230

Answer (Detailed Solution Below)

Option 2 : 270
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PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
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Detailed Solution

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दिले:

दोन गाड्यांचा वेग 80 किमी/तास आणि 90 किमी/ताशी आहे

ते एकमेकांना 3 मिनिटांत पार करतात

वापरलेली संकल्पना:

वेळ = अंतर/वेग

सापेक्ष गती = जेव्हा दोन शरीरे एकाच दिशेने फिरतात तेव्हा त्यांचा सापेक्ष वेग वैयक्तिक वेगापेक्षा भिन्न असेल

गणना:

3 मिनिटे = 180 से

गाड्यांची सापेक्ष गती = 90 - 80

⇒ 10 किमी/ता

गती मी/सेकंद = 10 × (5/18)

⇒ २५/९

दुसऱ्या ट्रेनची लांबी xm असू द्या

आता,

[(२३० + x)/(२५/९)] = १८०

(230 + x) = 180 × (25/9)

⇒ 230 + x = 500

⇒ x = 270

तर, इतर ट्रेनची लांबी = 270 मी

इतर ट्रेनची लांबी (m मध्ये) 270 आहे.

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