Question
Train P starts from Lucknow to Dehradun at 11:55 am with
an average speed of 55 m/s. Train Q starts from Dehradun to Lucknow at 1:35 pm with an average speed of 45 m/s. At what time the two trains will meet each other if the distance between Lucknow and Dehradun is 750 Km.Solution
Speed of train P = 55 × 18/5 = 198 Km/h Speed of train Q = 45 × 18/5 = 162 Km/h Distance travelled by train P till 1:35 pm = 198 × 5/3 = 330 Km Relative speed of trains = 198 + 162 = 360 Km/h Remaining distance to be travelled after 1:35 pm = 750 – 330 = 420 Km Time taken to cover 420 Km = 420/360 = 7/6 = 1 hours 10 minutes So the two trains will meet each other at 1:35 + 1:10 = 2:45 pm
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