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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 7 hours, the speed of the bike is increased by 35%. After 9 hours from starting, the car was 50 km ahead of the bike. Find the initial speed of the bike.
    A 22 km/hr Correct Answer Incorrect Answer
    B 21 km/hr Correct Answer Incorrect Answer
    C 25 km/hr Correct Answer Incorrect Answer
    D 20 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, 9 × 1.30x – (7x + 2 × 1.35x) = 50 => 11.7x – 9.7x = 50 => x = 50/2 = 25 km/hr

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