Question
Train P starts from Lucknow to Dehradun at 11:55 am with
an average speed of 30 m/s. Train Q starts from Dehradun to Lucknow at 1:35 pm with an average speed of 20 m/s. At what time the two trains will meet each other if the distance between Lucknow and Dehradun is 625 Km.Solution
Speed of train P = 30 × 18/5 = 108 Km/h Speed of train Q = 20 × 18/5 = 72 Km/h Distance travelled by train P till 1:35 pm = 108 × 5/3 = 180 Km Relative speed of trains = 108 + 72 = 180 Km/h Remaining distance to be travelled after 1:35 pm = 625 – 180 = 445 Km Time taken to cover 445 Km = 445/180 = 5/2 = 2 hours 30 minutes So the two trains will meet each other at 1:35 + 2:30 = 4:05 pm
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