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Math Help - Word Problem (532)

  1. #1
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    Word Problem (532)

    Edna and Nancy leave the house of a common friend at the same time and walk for 4 hours. Edna walks due east at the average rate of 4 kilometers per hour and Nancy walks due north at the average rate of 3 kilometers per hour. What is the straight-line distance between them, in kilometers, at the end of the 4 hourse?
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  2. #2
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    distance = rate * time

    Edna, due east, d1 = (4 km/hr)(4 hrs) = 16 km
    Nancy, due north, d2 = (3)(4) = 12 km

    They walked in lines that are perpendicular, so the the straight line, d3, between them forms the hypotenuse of a right triangle.
    By Pythagorean theorem,
    (d3)^2 = (d1)^2 +(d2)^2

    etc...
    (You should find d3 = 20 km)
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  3. #3
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    Thanks!!
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