SOLUTION: A sailboat departed from an island and traveled north for 2 hours, then east for 1 and 1/2 hours all at the same speed. At the end of the trip the boat was 20 miles from where it
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Question 676400: A sailboat departed from an island and traveled north for 2 hours, then east for 1 and 1/2 hours all at the same speed. At the end of the trip the boat was 20 miles from where it started. At what speed did the boat travel? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A sailboat departed from an island and traveled north for 2 hours, then east
for 1 and 1/2 hours all at the same speed.
At the end of the trip the boat was 20 miles from where it started.
At what speed did the boat travel?
:
Let s = speed of the boat
:
This is a pythag problem: a^2 + b^2 = c^2, where
a = the distance travel north after 2 hrs
b = the distance travel east after 1.5 hrs
c = 20 mi
:
(2s)^2 + (1.5s)^2 = 20^2
4s^2 + 2.25s^2 = 400
6.25s^2 = 400
s^2 =
s^2 = 64
s =
s = 8 mph is the boat speed
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