document.write( "Question 1006036: Traveling with the current, a boat covers in 4 hours a distance 2.4 times greater than traveling against the current. What is the speed of the boat in still water if the speed of the current is 1.5 mph?
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Algebra.Com's Answer #622177 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Traveling with the current, a boat covers in 4 hours a distance 2.4 times greater than traveling against the current. \n" ); document.write( " What is the speed of the boat in still water if the speed of the current is 1.5 mph? \n" ); document.write( ": \n" ); document.write( "let s = boat speed in still water \n" ); document.write( "then \n" ); document.write( "(s+1.5) = speed with the current \n" ); document.write( "and \n" ); document.write( "(s-1.5) = speed against \n" ); document.write( ": \n" ); document.write( "Write a distance equation, dist = time * speed \n" ); document.write( ": \n" ); document.write( "with dist = 2.4*against dist \n" ); document.write( "4(s+1.5) = 2.4[4(s-1.5)] \n" ); document.write( "4s + 6 = 2.4(4s - 6) \n" ); document.write( "4s + 6 = 9.6s - 14.4 \n" ); document.write( "6 + 14.4 = 9.6s - 4s \n" ); document.write( "20.4 = 5.6s \n" ); document.write( "s = 20.4/5.6 \n" ); document.write( "s = 3.643 mph in still water \n" ); document.write( ": \n" ); document.write( "; \n" ); document.write( "See if that checks out \n" ); document.write( " 4(3.643+1.5) = 2.4[4(3.643-1.5)] \n" ); document.write( " 4(5.143) = 2.4*4(2.143) \n" ); document.write( " 20.57 = 2.4(8.57) \n" ); document.write( " 20.57 = 20.57 \n" ); document.write( " \n" ); document.write( " |