Question
A Train Rajdhani Express leaves Kanpur station at 6 am
and reaches Lucknow station at 10 am. Another Train Shatabdi Express leaves Lucknow station at 8 am and reaches Kanpur station at 11.30 am. Find the time when two trains cross each other?Solution
ATQ, we can say that Time taken by Rajdhani Express is = 4 hours Time taken by Shatabdi Express is = 7/2 hours Let total distance between Kanpur station and Lucknow station is = 28 units Distance covered by Rajdhani express in 1 hour is = 7 units Distance covered by Shatabdi express in 1 hour = 8 units Distance covered by Rajdhani express in first 2 hours alone = 7 x 2 = 14 units Remaining distance = 14 units Time taken by both train to cover 14 units distance = (14/15) x 60 minutes = 56 minutes Hence, the Required time is = 8.56 am
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