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The toll of two cities (Posted on 2017-02-20) Difficulty: 3 of 5
The two cities, A(0,a) and B(b,-c), are separated by a river (river's banks are defined by y=0 and y=a/10). A bridge, about to be erected must be perpendicular to river's banks (i.e. line x=d).

Evaluate d to minimize the travel distance between A and B.

  Submitted by Ady TZIDON    
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Solution: (Hide)
Answer: d = 9ab/(9a+10c).
Full solution @ Brian Smith's post.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSolutionBrian Smith2017-02-20 10:08:15
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