📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

    Question

    Speed of a car is (v + 2) km/h, which is 8 km/h less

    than that of bike. Time taken by car to cover 96 km is 20% less than the time taken by bike to cover 150 km. Length of a train is (5v + 12) metres. If speed of train is (v - 3) m/s, then find the time taken (in seconds) by train to cross a man standing on a platform of length 540 metres.
    A 6 Correct Answer Incorrect Answer
    B 9 Correct Answer Incorrect Answer
    C 12 Correct Answer Incorrect Answer
    D 15 Correct Answer Incorrect Answer
    E 8 Correct Answer Incorrect Answer

    Solution

    Speed of bike = v + 2 + 8 = (v + 10) km/h 96 ÷ (v + 2) = (4/5) × 150 ÷ (v + 10) Or, 96 (v + 10) = 120 (v + 2) Or, 96v + 960 = 120v + 240 Or, 24v = 720 Or, v = 30 Length of train = 5 × 30 + 12 = 162 metres Speed of train = 30 − 3 = 27 m/s Since we need to calculate the time taken by train to cross the man standing on the platform, so the length of the platform will not be considered. Required time = 162 ÷ 27 = 6 seconds

    Practice Next
    More Trains Questions

    Relevant for Exams:

    ask-question