What is the Distance from his School to House? If

If a student walks from his house to school at 5 km/hr, late by 30 minutes. However, if he walks at 6 km/hr, he is late by 5 minutes only. The distance of his school from his house is:

  1. 2.5 km
  2. 3.6 km
  3. 5.5 km
  4. 12.5 km
vijay Professor Asked on 2nd August 2015 in Maths.
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  • 1 Answer(s)

    Answer: (4) 12.5 km
    Explanation:-
    Let the distance be X km.
    According to the question,
    X/5 + 30/60 = X/6 + 5/60
    X/5  – X/6 = 1/12 – 30/60
    X(6 – 5)/30 = (5 – 30)/60
    X/30 = – 25/60
    X = – 25 x 30/60
    X = – 12.5 km
    X = 12.5 km                (As we know that the distance is always positive)
    Hence, the answer is (4) 12.5 km.

    Anurag Mishra Professor Answered on 2nd August 2015.
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