Question
Train P starts from Lucknow to Dehradun at 11:55 am with
an average speed of 25.5 m/s. Train Q starts from Dehradun to Lucknow at 1:35 pm with an average speed of 20.5 m/s. At what time the two trains will meet each other if the distance between Lucknow and Dehradun is 620 Km.Solution
Speed of train P = 25.5 × 18/5 = 91.8 Km/h Speed of train Q = 20.5 × 18/5 = 73.8 Km/h Distance travelled by train P till 1:35 pm = 91.8 × 5/3 = 153 Km Relative speed of trains = 91.8 + 73.8 = 165.6 Km/h Remaining distance to be travelled after 1:35 pm = 620 – 153 = 467 Km Time taken to cover 467 Km = 467/165.6 = 17/6 = 2 hours 50 minutes So the two trains will meet each other at 1:35 + 2:50 = 4:25 pm
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