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

    Question

    Two trucks start from depots C and D facing each other.

    Driver 1 (from C) moves toward D at (x тАУ 7) km/h. After 3 hours, Driver 2 (from D) heads toward C at (x + 7) km/h. They meet right at the midpoint of CD. If CD = 504 km, find Driver 1тАЩs total travel time from C to D.
    A 18 hrs Correct Answer Incorrect Answer
    B 20 hrs Correct Answer Incorrect Answer
    C 12 hrs Correct Answer Incorrect Answer
    D 24 hrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Distance covered by Driver 1 in 3 hours = 3(x тАУ 7) km Remaining distance = 504 тАУ 3(x тАУ 7) = 504 тАУ 3x + 21 = (525 тАУ 3x) km Time of meet after Driver 2 starts = (525 тАУ 3x)/(2x) hours According to question, [(525 тАУ 3x)/(2x)] ├Ч (x + 7) = 504/2 (525x + 3675 тАУ 3x┬▓ тАУ 21x) = 504x тЗТ тАУ3x┬▓ + 3675 = 0 x┬▓ = 1225 x = 35 Speed of Driver 1 = 35 тАУ 7 = 28 km/h Therefore, required time = 504/28 = 18 hours

    Practice Next
    More Time and distance Questions

    Relevant for Exams:

    ask-question