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)![]() ![]() You can put this solution on YOUR website! 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? \n" ); document.write( ": \n" ); document.write( "Let s = speed of the boat \n" ); document.write( ": \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 \n" ); document.write( ": \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 = \n" ); document.write( "s^2 = 64 \n" ); document.write( "s = \n" ); document.write( "s = 8 mph is the boat speed \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |