75 किमीच्या वर्तुळाकार सायकलिंग ट्रॅकभोवतीच्या शर्यतीत दोन सायकलस्वार 30 किमी/तास आणि 25 किमी/तास वेगाने सायकल चालवत आहेत. जिथून त्यांनी आपला प्रवास सुरू केला त्या ठिकाणी ते किती वाजता (तासात) भेटतील?

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  1. 16
  2. 7
  3. 14
  4. 15

Answer (Detailed Solution Below)

Option 4 : 15
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दिलेल्याप्रमाणे:

वर्तुळाकार सायकलिंग ट्रॅकची लांबी = 75 किमी

2 सायकलस्वारांचा वेग अनुक्रमे 35 किमी प्रति तास आणि 25 किमी प्रति तास आहे.

सूत्र:

वेळ = अंतर/वेग

अवयवचा लसावि = [अवयवच्या अंशाचा लसावि ] / [अवयवच्या छेदाचा मसावि]

गणना:

प्रत्येकाला एक फेरी पार करण्यासाठी लागणारा वेळ = 75/35

प्रत्येकाला एक फेरी पार करण्यासाठी लागणारा वेळ = 75/25 

∴ आवश्यक वेळ = लसावि (75, 75) / मसावि (35, 25)

= 75/5  = 15 तास

जिथून त्यांनी आपला प्रवास सुरू केला त्या ठिकाणी ते 15 तासात भेटतील

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