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A freight train left Delhi for Mumbai at an average speed of 40 km/hr. Two hours later, an express train left Delhi for Mumbai, following the freight train on a parallel track at an average speed of 60 km/hr. How far from Delhi would the express train meet the freight train? (a) 480 km (b) 260 km (c) 240 km (d) 120 km |
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Answer» Correct option (c) 240 km Explanation: Speed of freight train = 40 km/hr and Speed of express train = 60 km/hr Hence, relative velocity = 60 – 40 = 20 km/hr Distance travelled by freight train in 2 hours = Speed of freight train × 2 = 40 × 2 = 80 km So, time taken by express train to catch freight train = Distance/Relative speed = 80/20 = 4 hr Distance from Delhi at this moment = Speed of express train × 4 = 60 × 4 = 240 km |
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