Train P starts from Lucknow to Dehradun at 11:55 am with an average speed of 27.5 m/s. Train Q starts from Dehradunto Lucknowat 1:35 pm with an average speed of 22.5 m/s. At what time the two trains will meet each other if the distance between Lucknowand Dehradunis 615 Km.
Speed of train P = 27.5 × 18/5 = 99 Km/h Speed of train Q = 22.5 × 18/5 = 81 Km/h Distance travelled by train P till 1:35 pm = 99 × 5/3 = 165 Km Relative speed of trains = 99 + 81 = 180 Km/h Remaining distance to be travelled after 1:35 pm = 615 – 165 = 450 Km Time taken to cover 450 Km = 450/180 = 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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