Question

    The speed of a car is 20% 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 20%. After 7 hours from starting, the car was 78 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 78 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 = 1.20x km/hr According to the question, 7 x 1.20x - (5x + 2 x 1.20x) = 78 =gt; 8.4x - 7.4x = 78 =gt; x = 78/1 = 78 km/hr

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