πŸ“’ Too many exams? Don’t know which one suits you best? Book Your Free Expert πŸ‘‰ call Now!


    Question

    'R' started his journey from point 'X' towards point 'Y' at

    40 km/h. Three hours later, 'S' left point 'X' towards point 'Y' at 70 km/h. 'T' left point 'X' towards 'Y' after 'M' hours of 'R's journey at 105 km/h. If both 'S' and 'T' overtook 'R' at the same time, find the value of M.
    A 4.33 Correct Answer Incorrect Answer
    B 8.88 Correct Answer Incorrect Answer
    C 12.11 Correct Answer Incorrect Answer
    D 17.33 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Distance covered by 'R' in the first three hours = 40 Γ— 3 = 120 km

    Relative speed of 'S' with respect to 'R' = 70 βˆ’ 40 = 30 km/h

    Time taken by 'S' to overtake 'R' = 120 Γ· 30 = 4 hours

    Distance covered by 'S' in 4 hours = 70 Γ— 4 = 280 km

    Time taken by 'T' to cover 280 km = 280 Γ· 105 = 2.67 hours

    So, 'T' must have left 2.67 hours before 'S' overtook 'R', i.e., 4 βˆ’ 2.67 = 1.33 hours after 'S' left

    Therefore, M = 3 + 1.33 = 4.33 hours

    Practice Next

    Relevant for Exams:

    ask-question