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1 February, 07:59

A bird is about 6.5 in. long, with a thin, dark bill and a wide, white wing stripe. If the bird can fly 88 mi with the wind in the same time it can fly 72 mi against the wind when the wind speed is 2 mph, what is the rate of the bird in still air?

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  1. 1 February, 09:03
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    20.0 mph

    Explanation:

    Let x represent the speed in still air, and t represent the time of flight;

    Speed of wind = 2 mph

    When flying with the wind, it's Speed is;

    x + 2

    When flying against wind, it's speed is;

    x - 2

    distance = speed * time;

    When flying with the wind, distance is;

    (x+2) t = 88 ... 1

    When flying against wind, distance is;

    (x-2) t = 72 ... 2

    Solving the simultaneous equation;

    Divide equation 1 by 2

    (x+2) t / (x-2) t = 88/72

    (x+2) / (x-2) = 1.222

    x+2 = 1.222 (x-2)

    x+2 = 1.222x - 2.444

    x (1.222-1) = 2+2.444

    x (0.222) = 4.444

    x = 4.444/0.222

    x = 20.0 mph

    the rate of the bird in still air is 20.0 mph
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