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    Question

    The speed of a car is 30% more than that of a bike. Both

    of them start from a same point. After travelling for 4 hours, the speed of the bike is increased by 40%. After 6 hours from starting, the car was 52 km ahead of the bike. Find the initial speed of the bike.
    A 60 km/hr Correct Answer Incorrect Answer
    B 52 km/hr Correct Answer Incorrect Answer
    C 69 km/hr Correct Answer Incorrect Answer
    D 50 km/hr Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the initial speed of the bike be x km/hr Therefore, speed of the car = 1.30x km/hr According to the question, 6 × 1.30x - (4x + 2 ×1.40x) = 52 => 7.8x - 6.8x = 52 => x = 52/1 = 52 km/hr

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