document.write( "Question 590248: Richard used his kayak and rows upstream at the rate of 3 kph and rows back downstream at the rate of 21 kph. If the complete trip requires 30 minutes. Find the total distance Richard rowed. \n" ); document.write( "
Algebra.Com's Answer #375215 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Richard used his kayak and rows upstream at the rate of 3 kph and rows back downstream at the rate of 21 kph. If the complete trip requires 30 minutes. Find the total distance Richard rowed. \n" ); document.write( ": \n" ); document.write( "Let d = one-way distance rowed \n" ); document.write( "then \n" ); document.write( "2d = total distance \n" ); document.write( ": \n" ); document.write( "Change 30 min to .5 hrs \n" ); document.write( ": \n" ); document.write( "Write a time equation; time = dist/speed \n" ); document.write( " \n" ); document.write( "multiply by 21 \n" ); document.write( "21* \n" ); document.write( "cancel the denominators \n" ); document.write( "7d + d = 10.5 \n" ); document.write( "8d = 10.5 \n" ); document.write( "d = \n" ); document.write( "d = 1.3125 km one way \n" ); document.write( "then \n" ); document.write( "2 * 1.3125 = 2.625 km total distance \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "See if this checks out find the time each way \n" ); document.write( "1.3125/3 = .4375 hrs \n" ); document.write( "1.3125/21= .0625 hrs \n" ); document.write( "-------------------- \n" ); document.write( "total time;.5 hrs; confirms our solution of 2.625 km total \n" ); document.write( " |