document.write( "Question 142033: The speed of a stream is 6 mph. If a boat travels 98 miles downstream in the same time that it takes to travel 49 miles upstream, what is the speed of the boat in still water? \n" ); document.write( "
Algebra.Com's Answer #103437 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! he speed of a stream is 6 mph. If a boat travels 98 miles downstream in the same time that it takes to travel 49 miles upstream, what is the speed of the boat in still water? \n" ); document.write( ": \n" ); document.write( "Let s = speed in still water \n" ); document.write( "then \n" ); document.write( "(s-6) = speed upstream (in relation to the land) \n" ); document.write( "and \n" ); document.write( "(s+6) = speed downstream \n" ); document.write( ": \n" ); document.write( "Write a time equation: Time = dist/speed \n" ); document.write( ": \n" ); document.write( "Time downstream = time upstream \n" ); document.write( " \n" ); document.write( "Cross multiply \n" ); document.write( "98(s-6) = 49(s+6) \n" ); document.write( ": \n" ); document.write( "98s - 588 = 49s + 294 \n" ); document.write( ": \n" ); document.write( "98s - 49s = 294 + 588 \n" ); document.write( ": \n" ); document.write( "49s = 882 \n" ); document.write( "s = \n" ); document.write( "s = 18 mph in still water \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution by finding out if the times are equal \n" ); document.write( "12 mph = speed up \n" ); document.write( "24 mph = speed down \n" ); document.write( "49/12 = 4.0833 \n" ); document.write( "98/24 = 4.0833\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |