What is the Distance of His School from His House?

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

  1. 2.5 km
  2. 3.6 km
  3. 5.5 km
  4. 12.5 km
Monis Rasool Professor Asked on 21st May 2015 in Maths.
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  • 1 Answer(s)

    Answer:(4) 12.5 km
    Let be the distance from his home to school = X km

    According to question,

    X/5 + 30 /60 =   X/6 + 5/60

    X/5 – X/6 = 1/12 – 1/2

    X/30 = 5/12                                            [time is always positive]

    X = 5/12 x 30 = 12.5

    X = 12.5 km                         Ans.

    Hence, the distance from his school to his house 12.5 km.

    Anurag Mishra Professor Answered on 22nd May 2015.
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