document.write( "Question 433814: Boating: A family travels 18 miles down river and returns. It takes 8 hours to make the round trip. Their rate in still water is twice the rate of the rivers current. How long will the return trip take? \n" ); document.write( "
Algebra.Com's Answer #300690 by psbhowmick(878)![]() ![]() You can put this solution on YOUR website! Let the river current be x km/hr. \n" ); document.write( "Then, speed of the boat is 2x km/hr.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Time taken to go 18km downstream = 18/(2x+x) = 6/x hr.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Time taken to go 18km upstream = 18/(2x-x) = 18/x hr.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Total time taken = 6/x + 18/x hr. \r \n" ); document.write( "\n" ); document.write( "6/x + 18/x = 8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "24/x = 8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, time taken for return trip (18km upstream) = 18/(2x-x) = 18/3 = 6 hr. \n" ); document.write( " |