SOLUTION: Two boats leave the dock at 12:00 noon, one of them moving northward at 6 miles per hour, and the other moving westward at 8 mph. How far apart are the boats after 2hours? A. 20 m

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Question 348134: Two boats leave the dock at 12:00 noon, one of them moving northward at 6 miles per hour, and the other moving westward at 8 mph. How far apart are the boats after 2hours?
A. 20 miles B. 28 miles C. 10 miles D. 14 miles

Answer by nerdybill(7384) About Me  (Show Source):
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Two boats leave the dock at 12:00 noon, one of them moving northward at 6 miles per hour, and the other moving westward at 8 mph. How far apart are the boats after 2hours?
A. 20 miles B. 28 miles C. 10 miles D. 14 miles
.
After two hours:
northward boat travels: 2*6 = 12 miles
westward boat travels: 2*8 = 16 miles
.
To find distance apart, apply Pythagorean theorem:
Let d = distance apart
then
d^2 = 12^2 + 16^2
d^2 = 144 + 256
d^2 = 400
d = 20 miles