Find Distance Between Two Places If Speed is

If walk at 5 km/hr, I miss a train by 7 minutes. However, if I walk at 6 km/hr I reach the station 5 minutes before the departure of the train. The distance between my house and the station is:

  1. 6 km
  2. 5 km
  3. 5 km
  4. 7 km
Manish Listener Asked on 15th June 2015 in Maths.
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  • 1 Answer(s)

    Answer: (1) 6 km
    Explanation:-
    Let be the distance is X km
    According to the question,
    X/5 + 7/60 = X/6 – 5/60
    X/5 – X/6 = -5/60 – 7/60
    X/30 = – 12/60
    X/30 = – 1/5
    X = – 30/5
    X = -6               (Distance is always in positive)
    The, X = 6 Km
    Hence, the answer is (1) 6 km.

    Anurag Mishra Professor Answered on 15th June 2015.
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