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    Question

    The speed of a car is 25% 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 40%. After 7 hours from starting, the car was 38 km ahead of the bike. Find the initial speed of the bike.
    A 40 km/hr Correct Answer Incorrect Answer
    B 42 km/hr Correct Answer Incorrect Answer
    C 43 km/hr Correct Answer Incorrect Answer
    D 47 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 = 1.25x km/hr According to the question, 7 × 1.25x – (5x + 2 × 1.4x) = 38 => 8.75x – 7.8x = 38 => x = 38/0.95 = 40 km/hr

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