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    Question

    The distance between points X and

    Y is in the ratio of 16:9 compared to the distance between points Y and Z. A person P travels from X to Y at a speed of '4y'km/h and from Y to Z at a speed of '5y'km/h. What is the ratio of the time taken by P to travel from X to Y and from Y to Z?
    A 21:6 Correct Answer Incorrect Answer
    B 18:17 Correct Answer Incorrect Answer
    C 20:9 Correct Answer Incorrect Answer
    D 19:3 Correct Answer Incorrect Answer

    Solution

    ATQ, Let the distance between points тАШXтАЩ and тАШYтАЩ = 16x km Then, distance between points тАШYтАЩ and тАШZтАЩ = 9x km Time taken by Person 'P' to travel from тАШXтАЩ to тАШYтАЩ = (16x/4y) = 4 ├Ч (x/y) hours Time taken by Person 'P' to travel from тАШYтАЩ to тАШZтАЩ = (9x/5y) = 1.8 ├Ч (x/y) hours So, required ratio = 4:(1.8) = 20:9

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