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  • Question
  • At what time will B catch up with A, if A starts from a place at 11.00 A.M. and travels at a speed of 3.5 kmph, B starts at 1.00 P.M. and travels with speeds of 1 kmph for 1 hour, 2 kmph for the next 1 hour, 3 kmph for the next 1 hour and so on.


  • Options
  • A. 8 : 47 pm
  • B. 6 : 40 pm
  • C. 8 : 42 pm
  • D. 7 : 40 pm

  • Correct Answer
  • 7 : 40 pm 

    Explanation

    At 1 pm ... Distance between A and B = 2x3.5 = 7 kms
    at 2 pm .....Distance between A and B = 7 + 3.5 - 1 = 9.5 kms
    At 3 pm ....Distance between A and B = 9.5 + 3.5 - 2 = 11 kms.
    ..
    ..
    ..
    At 7 pm distance between A and B = 3 kms.
    From 7 pm to 8 pm, speed of A = 3.5 kmph
    speed of B = 8 kmph
    Relative speed = 4.5 kmph

    Time taken by B to meet A = 3/4.5 hrs = 30/45 hrs = 120/3 mins = 40 mins.

    So meeting time is 7 : 40 PM.

  • Tags: AIEEE, Bank Exams, CAT, GATE, GRE, Bank Clerk, Bank PO

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