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The distance between the two stations of Madhubani and Patna is 300 km. A train starts from Madhubani at 9 am with a speed of 30 km per hour towards Patna. Another train runs from Patna at 10 am towards Madhubani at a speed of 20 km per hour. What time will they meet each other?A. 4.24 p.m.B. 2.24 p.m.C. 3.24 p.m.D. 5.24 p.m.1. C2. A3. B4. D |
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Answer» Correct Answer - Option 1 : C Given: Distance between Madhubani and Patna = 300 km Train starts from Madhubani with 30 km/hr at = 9 am Train starting from Patna with 20 km/hr at = 10 am Concept used: Relative speed = Speed of train A + speed of train B When both are moving in opposite direction. Calculation: Distance travelled by train from Madhubani from 9 am to 10 am = 30 km Now, distance between trains = 300 - 30 = 270 Km Time at which the two trains meet = distance/ relative speed Time of meeting = 270/(30 + 20) = 5 hour 24 min. That of meeting = 5 hours 24 mins from 10 am ∴ The two trains will meets at 3:24 pm. |
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