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    Question

    The ratio of the speeds of an auto, a car and a bus is

    4 : 9 : 8. The average speed of the auto, the car and the bus together is 98 km/h. The average speed of the auto and the bus together is:
    A 84 km/h Correct Answer Incorrect Answer
    B 48 km/h Correct Answer Incorrect Answer
    C 64 km/h Correct Answer Incorrect Answer
    D 78 km/h Correct Answer Incorrect Answer

    Solution

    Let speed of auto, car and bus be 4x, 9x and 8x respectively. ATQ: 4x + 9x + 8x = 98 × 3 21x = 294 x = 14 Therefore, average speed of auto and bus = (12 × 14)/2 = 84 km/hr

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