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11 February, 01:25

From a train station, one train heads north and another heads east. Some time later, the northbound train has traveled 16 miles. If the two trains separated by a straight-line distance of 20 miles, how far has the eastbound train traveled?

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  1. 11 February, 02:12
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    Answer: the eastbound train had travelled 12 miles

    Explanation: using Pythagoras theorem, we know that

    X^2 = a^2 + b^2

    Where ^ stands for raised to power.

    Let

    a stand for the train going towards North and

    b stands for the train going towards east.

    X stands for the total distance between train a and b = 20 miles.

    By Pythagoras rule

    X^2 = a^2 + b^2

    20^2 = 16^2 + b^2

    400 = 256 + b^2 so that

    b^2 = 400 - 256 = 144

    b = √144

    b = 12 miles.
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