Man Traveled Journey by Train, Car and Walking. Find Total Distance travelled

A man traveled 2/11 of his journey by train, 17/22 by car and walked the remaining 1 kilometer. How far did he go?

  1. 24 km
  2. 33 km
  3. 27 km
  4. 22 km
Pushpendra Pal Dean Asked on 14th September 2015 in Maths.
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  • 1 Answer(s)

    Answer: (4) 22 km

    Explanation:-
    Let the total distance of the journey be X km.
    A man travelled 2/11 of his journey by train,
    Then, the journey travelled by the train = 2 X/11

    17/22 by car,
    Then, the journey travelled by the car = 17X/22

    Total journey travelled by the train and car = X (2/11 + 17/22)
    = X(4 + 17)/22
    = 21 X/22
    Remaining journey = X – 21X/22
    = (22X – 21X)/22
    = X/22

    Then, X/22 = 1
    X = 22 km

    Then, the total distance of the journey is 22 km.

    Hence, the answer is (4) 22 km.

    Anurag Mishra Professor Answered on 14th September 2015.
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