document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #420340 by ankor@dixie-net.com(22740)\"\" \"About 
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A sailboat departed from an island and traveled north for 2 hours, then east
\n" ); document.write( " for 1 and 1/2 hours all at the same speed.
\n" ); document.write( "At the end of the trip the boat was 20 miles from where it started.
\n" ); document.write( " At what speed did the boat travel?
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\n" ); document.write( "Let s = speed of the boat
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\n" ); document.write( "This is a pythag problem: a^2 + b^2 = c^2, where
\n" ); document.write( "a = the distance travel north after 2 hrs
\n" ); document.write( "b = the distance travel east after 1.5 hrs
\n" ); document.write( "c = 20 mi
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\n" ); document.write( "(2s)^2 + (1.5s)^2 = 20^2
\n" ); document.write( "4s^2 + 2.25s^2 = 400
\n" ); document.write( "6.25s^2 = 400
\n" ); document.write( "s^2 = \"400%2F6.25\"
\n" ); document.write( "s^2 = 64
\n" ); document.write( "s = \"sqrt%2864%29\"
\n" ); document.write( "s = 8 mph is the boat speed
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