document.write( "Question 211498: Patty the Paddler paddles her paddle boat at a constant 12km/h. She paddles 21km upstream and 34 km downstream in a total of 5 hours. What is the speed of the current? \n" ); document.write( "
Algebra.Com's Answer #159903 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! D=RT \n" ); document.write( "T=D/R \n" ); document.write( "X=21/(12-R) \n" ); document.write( "12X-RX=21 \n" ); document.write( "5-X=34/(12+R) \n" ); document.write( "X=21/(12-R) \n" ); document.write( "-------------- \n" ); document.write( "5=34/(12+R)+21/(12-R) \n" ); document.write( "5=[34(12-R)+21(12+R)]/(12+R)(12-R) \n" ); document.write( "5=[408-34R+252+21R]/(144-R^2) \n" ); document.write( "5(144-R^2)=13R+660 \n" ); document.write( "720-5R^2-13R-660=0 \n" ); document.write( "-5R^2-13R+60=0 \n" ); document.write( "5R^2-13R-60=0 \n" ); document.write( "(5R+12)(R-5)=0 \n" ); document.write( "R-5=0 \n" ); document.write( "R=5 KM/H. ANS. FOR THE CURRENT. \n" ); document.write( "PROOF: \n" ); document.write( "5=34/(12+5)+21/(12-5) \n" ); document.write( "5=34/17+21/7 \n" ); document.write( "5=2+3 \n" ); document.write( " \n" ); document.write( " |