एका ट्रेनने 120 मीटर लांबीचा प्लॅटफॉर्म 12 सेकंदात आणि 165 मीटर लांबीचा प्लॅटफॉर्म 15 सेकंदात पार केला. ट्रेनचा वेग होता:

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RRB ALP Previous Paper 13 (Held On: 20 Aug 2018 Shift 2)
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  1. 66 किमी/तास
  2. 54 किमी/तास
  3. 49 किमी/तास
  4. 72 किमी/तास

Answer (Detailed Solution Below)

Option 2 : 54 किमी/तास
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Detailed Solution

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वापरलेले सूत्र:

अंतर = वेग × वेळ

गणना:

ट्रेनचा वेग 'x' मीटर/सेकंद असू द्या आणि ट्रेनची लांबी 'y' मीटर/सेकंद असू द्या

एका ट्रेनने 120 मीटर लांबीचा प्लॅटफॉर्म 12 सेकंदात पार केला.

⇒ 12 × (x) = 120 + y ----(1)

ट्रेनने 15 सेकंदात 165 मीटर लांबीचा प्लॅटफॉर्म पार केला.

⇒ 15 × (x) = 165 + y       ----(2)

समीकरण (2) - समीकरण (1) आपल्याला मिळते,

⇒ 3x = 45

⇒ x = 15 मीटर/सेकंद = 15 × (18/5) किमी/ता = 54 किमी/तास

∴ ट्रेनचा वेग 54 किमी/तास आहे.
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