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    Question

    A is cycling at an average speed of 24 km/hr such that

    he can reach a certain point at 12 noon. If he cycles at 48 km/hr, then he will reach the destination at 10 a.m. At what speed he should cycle to reach the destination at 11 a.m.
    A 30 km/hr Correct Answer Incorrect Answer
    B 35 km/hr Correct Answer Incorrect Answer
    C 32 km/hr Correct Answer Incorrect Answer
    D 37 km/hr Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the distance to be travelled be ‘x’ km Time taken when speed is 24 km/hr = (x/24) hours Time taken when speed is 48 km/hr = (x/48) hours According to the question, (x/24) – (x/48) = 2 Or, 2x – x = 2 × 48 Or, x = 96 km Time taken to travel 96 km with speed of 24 km/hr = 96/24 = 4 hours Therefore, he started at 12 – 4 = 8 a.m. Therefore, required speed to reach the destination at 11 a.m. or 3 hours = 96/3 = 32 km/hr

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