document.write( "Question 662501: Jeremiah can kayak downstream a distance of 21 kilometers in 3 hours. Going upstream, he can kayak a distance of only 24 kilometers in 4 hours. How fast could Jeremiah kayak in still water (if there were no current)? \n" ); document.write( "
Algebra.Com's Answer #412298 by stanbon(75887) ![]() You can put this solution on YOUR website! Jeremiah can kayak downstream a distance of 21 kilometers in 3 hours. Going upstream, he can kayak a distance of only 24 kilometers in 4 hours. How fast could Jeremiah kayak in still water (if there were no current)? \n" ); document.write( "----------------------------------- \n" ); document.write( "Downstream rate: dist/time = 21/3 = 8 km/hr \n" ); document.write( "-------- \n" ); document.write( "Upstream rate: dist/time = 24/4 = 6 km/hr \n" ); document.write( "----- \n" ); document.write( "Equations \n" ); document.write( "downstream Eq: b + c = 8 km/hr \n" ); document.write( "upstream Eq::: b - c = 6 km/hr \n" ); document.write( "------------------------------------ \n" ); document.write( "Add and solve for \"b\": \n" ); document.write( "2b = 14 km/hr \n" ); document.write( "boat speed = 7 km/hr \n" ); document.write( "----- \n" ); document.write( "Solve for \"c\": \n" ); document.write( "b + c = 8 \n" ); document.write( "7 + c = 8 \n" ); document.write( "current = 1 km/hr \n" ); document.write( "====================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============ \n" ); document.write( " |