Isaac C. answered • 11/01/14

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The key to solving problems of this type is to draw a picture. When that is done, it can be seen that the points p, x, and the island form a right triangle with the hypothesis representing the distance between the island and X.

So the distance traveled by boat can be found using the pythogorean theorem.

d

_{boat}=√ (x^{2}+2.8^{2}) So the time traveled by boat ist

_{boat}= d_{boat}/4.1km/hr = 1/4.1 * √ (x^{2}+2.8^{2})The distance given by boat is found by simpy subtracting x from 6.3 miles.

d

_{walk}= 6.3-xt

_{walk}= d_{walk}/4.6km/hr = 1/4.6 * (6.3 - x).So the total time t

_{total}= t_{walk}+ t_{boat }= 1/4.6 * (6.3 - x) + 1/4.1 * √ (x

^{2}+2.8^{2})