SOLUTION: An island is 2 miles from point P (land) on a straight shore line. a town is 12 miles down the shore line from P. If a person can row a boat at an average speed of 3 miles per hour

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Question 501138: An island is 2 miles from point P (land) on a straight shore line. a town is 12 miles down the shore line from P. If a person can row a boat at an average speed of 3 miles per hour and can walk at the rate of 5 miles per hour. build a model that expresses the time T that it takes to go from the island to town as a function of the distance x from P to where the person lands on the boat..
So i have set it up as a triangle to distance of x to where he lands. then the distance he walks is 12-x. i can't remember how to set up a distance formula that expresses time!! thanks if you can help

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
An island is 2 miles from point P (land) on a straight shore line.
a town is 12 miles down the shore line from P.
If a person can row a boat at an average speed of 3 miles per hour and can walk at the rate of 5 miles per hour.
build a model that expresses the time T that it takes to go from the island to town as a function of the distance x from P to where the person lands on the boat..
:
time = dist/speed
We know the time walking can be written as %28%2812-x%29%29%2F5
:
But the rowing time will be the hypotenuse of the triangle divided by 3
:
total time = rowing time + walking time
t(x) = %28sqrt%282%5E2%2Bx%5E2%29%29%2F3 + %28%2812-x%29%29%2F5
:
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