SOLUTION: Professor Ortiz leaves campus on her bike, heading west at 6mph. Professor Wilson leaves campus at the same time and walk south at 2.5mph. how far apart are they after 4hrs? includ

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Professor Ortiz leaves campus on her bike, heading west at 6mph. Professor Wilson leaves campus at the same time and walk south at 2.5mph. how far apart are they after 4hrs? includ      Log On

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Question 330147: Professor Ortiz leaves campus on her bike, heading west at 6mph. Professor Wilson leaves campus at the same time and walk south at 2.5mph. how far apart are they after 4hrs? include check

Answer by mathslover(157) About Me  (Show Source):
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In 4 Hours , Prof Ortiz would have travelled 4* 6 = 24 miles west
In 4 Hours ,Wilson would have travelled 4* 2.5 = 10 miles south
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0--------A

The distance between them is the distance AB as depicted in the figure.
Note that they form 2 sides of a right angled triangle.
Using the Pyathogrean theorem,
AB%5E2+=+OA%5E2++%2B+OB%5E2
AB%5E2+=+24%5E2+%2B+10%5E2
AB%5E2+=+576+%2B+100
AB%5E2+=+676
AB+=+sqrt%28676%29
AB=+26