document.write( "Question 181807: A sightseeing boat travels 3 hrs. on a trip downstream with a 2.5mph current. The return trip against the same current takes 3.5 hrs. Find the speed of the boat in still water. \n" ); document.write( "
Algebra.Com's Answer #136419 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! A sightseeing boat travels 3 hrs. on a trip downstream with a 2.5mph current. \n" ); document.write( " The return trip against the same current takes 3.5 hrs. \n" ); document.write( " Find the speed of the boat in still water. \n" ); document.write( ": \n" ); document.write( "Let s = boat speed in still water \n" ); document.write( "then \n" ); document.write( "(s+2.5) = speed down-stream \n" ); document.write( "and \n" ); document.write( "(s-2.5) = speed up-stream \n" ); document.write( ": \n" ); document.write( "Distance of each trip is the same. Write a dist equation: dist = time * speed \n" ); document.write( ": \n" ); document.write( "Dist up = dist down \n" ); document.write( "3.5(s-2.5) = 3(s+2.5) \n" ); document.write( ": \n" ); document.write( "3.5s - 8.75 = 3s + 7.5 \n" ); document.write( ": \n" ); document.write( "3.5s - 3s = 7.5 + 8.75 \n" ); document.write( ": \n" ); document.write( ".5s = 16.25 \n" ); document.write( "s = \n" ); document.write( "s = 32.5 mph in still water \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution by finding the distance of each: \n" ); document.write( "3.5 * 30 = 105 mi \n" ); document.write( "3.0 * 35 = 105 mi \n" ); document.write( " |