document.write( "Question 618259: a boat traveled 88 miles downstream and back. the trip downstream took 4 hours. the trip back took 44 hours. what is the speed of the boat in still water? what is the speed of the current? \n" ); document.write( "
Algebra.Com's Answer #388807 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! a boat traveled 88 miles downstream and back. the trip downstream took 4 hours. the trip back took 44 hours. what is the speed of the boat in still water? what is the speed of the current? \n" ); document.write( "** \n" ); document.write( "let x=speed of boat in still water \n" ); document.write( "let c=speed of current \n" ); document.write( "x+c=net speed of boat downstream \n" ); document.write( "x+c=net speed of boat upstream \n" ); document.write( "travel time=distance/speed \n" ); document.write( ".. \n" ); document.write( "88/(x+c)=4 \n" ); document.write( "88/(x-c)=44 \n" ); document.write( ".. \n" ); document.write( "4x+4c=88 \n" ); document.write( "44x-44c=88 \n" ); document.write( ".. \n" ); document.write( "multiply first equation by 11 \n" ); document.write( "44x+44c=968 \n" ); document.write( "44x-44c=88 \n" ); document.write( "add \n" ); document.write( "88x=1056 \n" ); document.write( "x=12 \n" ); document.write( "4c=88-4x=88-48=40 \n" ); document.write( "c=10 \n" ); document.write( "ans: \n" ); document.write( "speed of boat in still water=12 mph \n" ); document.write( "speed of current=10 mph \n" ); document.write( " \n" ); document.write( " |