document.write( "Question 972277: You are traveling down-river in a boat with a still water speed of 2.36 m/s. The river's current is traveling with a speed of 1.22 m/s. After traveling down-river, the captain turns the boat around and returns to the location where the trip began. The trip took 2 hours and 19 minutes. Determine how many miles the captain traveled before turning around. \n" ); document.write( "
Algebra.Com's Answer #594636 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! The boat's speed downstream is 2.36 +1.22=3.58 all units here m/sec\r \n" ); document.write( "\n" ); document.write( "Upstream is 2.36-1.22=1.14 m/sec\r \n" ); document.write( "\n" ); document.write( "x=time downstream (% of total)\r \n" ); document.write( "\n" ); document.write( "100-x= time upstream (100-x %)\r \n" ); document.write( "\n" ); document.write( "3.58 x= 1.14 (100-x) \n" ); document.write( "3.58 x=114-1.14x \n" ); document.write( "4.72x=114 \n" ); document.write( "x=24.15% of time downstream\r \n" ); document.write( "\n" ); document.write( "Now convert units. First is time 139 minutes*0.2415=33.57 minutes spent going downstream \n" ); document.write( "That will mean 105.43 minutes spent going upstream.\r \n" ); document.write( "\n" ); document.write( "Time downstream is 3.58 m/sec*60 sec/min=214.8 m/min \n" ); document.write( "Multiply that by number of minutes and we get 7210.8 m or 7.21 km\r \n" ); document.write( "\n" ); document.write( "Upstream is 1.14 m/sec*60 sec/min = 68.4 m/min \n" ); document.write( "Multiply that by 105.43 minutes and we get 7211.4 m or 7.21 km. The difference is rounding error.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |