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    Question

    Rahul travels a certain distance

    with a constant speed of 18 km/h and reaches 3 hours late. If he had travelled at a constant speed of 24 km/h, he would have reached on time. Find the distance Rahul travelled.
    A 251 km Correct Answer Incorrect Answer
    B 216 km Correct Answer Incorrect Answer
    C 178 km Correct Answer Incorrect Answer
    D None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the appropriate time taken by Rahul to travel the distance be 't' hours. Let the distance travelled by Rahul be 'd' km. Using the given information, we have: 18(t+3) = 18t+54 = d 24t = d Equating the distances: 18t+54 = 24t 6t = 54 t = 9 Calculating the distance = d = 24t = 24×9 = 216 km

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