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    Question

    The ratio of speeds of ‘E’ and ‘F’ is 11:5,

    respectively. If the sum of time taken by them to travel 550 km each is 80 hours, then find the difference between the time taken by them to travel the same distance.
    A 30 hrs Correct Answer Incorrect Answer
    B 55 hrs Correct Answer Incorrect Answer
    C 25 hrs Correct Answer Incorrect Answer
    D 18 hrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the speeds of ‘E’ and ‘F’ be 11x km/hr and 5x km/hr, respectively. According to the question, (550/11x) + (550/5x) = 80 Or, 80x = 50 + 110 Or, 80x = 160 Or, x = 2 Therefore, speed of ‘E’ = 11x = 22 km/hr Speed of ‘F’ = 5x = 10 km/hr Required difference = (550/10) – (550/22) = 55 – 25 = 30 hours

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