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30 April, 01:03

Your average speed on the first half of a car trip is 69.0 km/h. How fast do you have to drive on the second half of the trip to achieve an average speed of 82.0 km/h for the whole trip

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  1. 30 April, 01:27
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    13 km/h

    Explanation:

    Average speed = distance/time

    Let the total distance and total time taken for the whole trip be d km and t hours respectively

    Average speed for the whole trip = 82 km/h

    d = 82t

    The distance covered in the first half = d1/2

    Time taken = t/2

    Average speed = 69 km/h

    69 = d1/2 : t/2

    d1 = 69t

    The distance covered in the second half = d2/2

    Time taken = t/2

    Let the average sly for the see half be A

    A = d2/2 : t/2

    d2 = At

    d = d1 + d2

    82t = 69t + At

    At = 82t - 69t

    At = 13t

    A = 13t/t = 13 km/h
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