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2 August, 00:26

Fran

Fran works due north of home. Her husband

Alan

Alan works due east. They leave for work at the same time. By the time

Fran is

5 miles from home, the distance between them is one mile more than

Alan 's distance from home. How far from home is

Alan ?

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Answers (1)
  1. 2 August, 01:02
    0
    Let a represent Alan's distance from home at the time of interest. By the Pythagorean theorem,

    ... (a + 1) ^2 = a^2 + 5^2

    ... a^2 + 2a + 1 = a^2 + 25

    ... 2a = 24

    ... a = 12

    Alan is 12 miles from home.
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Home » Mathematics » Fran Fran works due north of home. Her husband Alan Alan works due east. They leave for work at the same time. By the time Fran is 5 miles from home, the distance between them is one mile more than Alan 's distance from home.
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