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    Question

    The speed of a car is 24% more than that of a bike. Both

    of them start from a same point. After travelling for 5 hours, the speed of the bike is increased by 41%. After 7 hours from starting, the car was 43 km ahead of the bike. Find the initial speed of the bike.
    A 54 km/hr Correct Answer Incorrect Answer
    B 53 km/hr Correct Answer Incorrect Answer
    C 52 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 = 1.24x km/hr According to the question, 7 × 1.24x – (5x + 2 × 1.41x) = 43 => 8.68x – 7.82x = 43 => x = 43/0.86 = 50 km/hr

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