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    Question

    The speed of a car is 15% more than that of a bike. Both

    of them start from a same point. After travelling for 8 hours, the speed of the bike is increased by 30%. After 10 hours from starting, the car was 27 km ahead of the bike. Find the initial speed of the bike.
    A 35 km/hr Correct Answer Incorrect Answer
    B 40 km/hr Correct Answer Incorrect Answer
    C 45 km/hr Correct Answer Incorrect Answer
    D 30 km/hr Correct Answer Incorrect Answer

    Solution

    Let the initial speed of the bike be ‘x’ km/hr Therefore, speed of the car = 1.15x km/hr According to the question, 10 × 1.15x – (8x + 2 × 1.3x) = 27 => 11.5x – 10.6x = 27 => x = 27/0.9 = 30 km/hr

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