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    Question

    A train Lucknow Express leaves station A at 4 am and

    reaches station B at 7 am. Another train Kanpur Express leaves station B at 6 am and reaches station A at 8:30 am. At what time do the two trains will cross each other?(calculate approximate value)
    A 6:27am Correct Answer Incorrect Answer
    B 8:27am Correct Answer Incorrect Answer
    C 12:27pm Correct Answer Incorrect Answer
    D 6:27pm Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let distance between station A and B = 'd' km. Speed of Lucknow express = (d/3) Speed of Kanpur express = (2d/5) Relative speed = (d/3) + (2d/5) = (11d/15) Now, trains meet each other after 6am, when train Kanpur express starts its journey. So, distance travelled by Lucknow express from 4am to 6am =[2 × (d/3)]= (2d/3) Remaining distance = [d - (2d/3)] = d/3 Hence time taken to cross each other = [(d/3)/(11d/15)] = (5/11)hrs (5/11) × 60 = 27 min (approx) Thus, both of them cross each other at = 6:27am

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