John is travelling on his cycle and has calculated to reach point A at 2 pm :

John is travelling on his cycle and has calculated to reach point A at 2 pm, if he travels at 10 kmph. He will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 pm?

  1. 8 kmph
  2. 11 kmph
  3. 12 kmph
  4. 14 kmph
Anurag Mishra Professor Asked on 29th January 2016 in Maths.
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  • 1 Answer(s)

    Answer: (3) 12 kmph 

    Explanation:-
    Let the distance traveled by John X km.

    According to the question, 
    Then, X/10 – X/15 = 2
    (3 X  – 2 X)/30 = 2
     X= 2 x 30 
    X = 60 km

    Time taken to travel 60 km at 10 km/hr = 60/10
     = 6 hours

    Then, John started 6 hours before 2 P. M.  at 8 A. M. 
    Therefore, required speed = 60/5 
     = 12 kmph.

    Hence, the correct answer is option (3) 12 kmph. 

    Anurag Mishra Professor Answered on 29th January 2016.
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