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Discussion :: Time and Distance

  1. Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. 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 P.M.?

    2. A.

    8 kmph
    B.

    11 kmph
    C.

    12 kmph
    D.

    14 kmph

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    Answer : Option C

    Explanation :

    Let the distance travelled by x km.

     

    Then,\( \frac { X } { 10 }-\)\( \frac { X } { 15 }\)=2

     

     3x - 2x = 60

     

     x = 60 km.

     

    Time taken to travel 60 km at 10 km/hr =\([\frac { 60 } { 10 } ]\)hrs=6hrs.

     

    So, Robert started 6 hours before 2 P.M. i.e., at 8 A.M.

     

     Required speed =\([\frac { 60 } { 5 } ]\)kmph=12 kmph.

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