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  1. According to the Question, 
    A man travels the distance by air = 50%
    Travels the distance train = 35%
    Travels the distance by bus = 10%
    Travels the distance by taxi = 144 km

    Step by Step Solution : 

    Let, total distance travelled by man is x
    Therefore,
    By Air ,
    = x × 30/100
    = x/2
    By Train,
    = x × 35/100
    = 7x/20
    By Bus,
    = x × 10/100
    = x/10
    Now remaining distance,
    = x – x/2 – 7x/20 – x/10
    = 20x – 10x – 7x – 2x/20
    = x/20
    Therefore,
    x/20 = 144
    = x = 2880
    ∴ Air = 2880/2
    = 1440 KM
    ∴ Train = 7 × 2880/20
    = 1008 km
    ∴ Bus = 2880/10
    = 288 Km

    Video Explanation :
    https://youtu.be/gGedccDztwM

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