ЁЯУв Too many exams? DonтАЩt know which one suits you best? Book Your Free Expert ЁЯСЙ call Now!

    Question

    A car driver covers the first half of his total distance

    at a speed of тАШ4xтАЩ km/h and the second half at a speed of тАШ4x тАУ 8тАЩ km/h. If the average speed for the entire journey comes out to be 46(2/3) km/h, find the value of тАШxтАЩ. [x > 3]
    A 24 Correct Answer Incorrect Answer
    B 34 Correct Answer Incorrect Answer
    C 55 Correct Answer Incorrect Answer
    D 12 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    {2 ├Ч 4x ├Ч (4x тАУ 8)}/{4x + 4x тАУ 8} = 140/3

    Or, x(4x тАУ 8)/(8x тАУ 8) = 35/3

    Or, 3x(4x тАУ 8) = 35(8x тАУ 8)

    Or, 12x┬▓ тАУ 24x = 280x тАУ 280

    Or, 12x┬▓ тАУ 304x + 280 = 0

    Or, 12x┬▓ тАУ 288x тАУ 16x + 280 = 0

    Or, 12x(x тАУ 24) тАУ 16(x тАУ 24) = 0

    Or, (12x тАУ 16)(x тАУ 24) = 0

    Or, x = 24 or, x = 4/3

    So, x = 24

    Practice Next
    More Quant Miscellaneous Questions

    Relevant for Exams:

    ask-question