रश्मी जेव्हा 15 किमी/ताशी वेगाने प्रवास करते तेव्हा ती तिच्या शाळेत 30 मिनिटांनी उशीरा पोहोचते आणि जेव्हा ती 20 किमी/ताशी वेगाने प्रवास करते तेव्हा ती वेळेवर पोहोचते, तर 12 किमी/ताशी वेगाने तिच्या शाळेत जाण्यासाठी लागणारा वेळ शोधा.

  1. 1 तास
  2. 1. 5 तास
  3. 2.5 तास
  4. 3 तास

Answer (Detailed Solution Below)

Option 3 : 2.5 तास
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Detailed Solution

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दिलेल्याप्रमाणे:

जेव्हा रश्मी 15 किमी/ताशी वेगाने प्रवास करते तेव्हा ती 30 मिनिटांनी तिच्या शाळेत उशीरा पोहोचते आणि जेव्हा ती 20 किमी/ताशी वेगाने प्रवास करते तेव्हा ती वेळेवर पोहोचते

वापरलेले सूत्र:

वेळ = अंतर/वेग

गणना:

घेतलेला वेळ 't' होऊ द्या

अंतर 'D' असू द्या

प्रश्नानुसार

D/20 = t .... (1)

D/15 = t + (1/2) .... (2) (30 मिनिटे = 1/2 तास)

समीकरण 2 मधून 1 वजा करु

(D / 15) - (D / 20) = 1/2

⇒ D / 60 = 1/2

⇒ D = 30 किमी

ताशी 12 किमी/ताशी वेगाने 30 किमी वर पोहोचण्याची वेळ

वेळ = 30/12 = 2.5

योग्य पर्याय हा पर्याय 3 असेल

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