document.write( "Question 601587: If a boat goes downstream 72 miles in 3 hours and upstream 60 miles in 6 hours, the rate of the river and the rate of the boat in still water respectively are ________? \n" ); document.write( "
Algebra.Com's Answer #379884 by lwsshak3(11628) ![]() You can put this solution on YOUR website! If a boat goes downstream 72 miles in 3 hours and upstream 60 miles in 6 hours, the rate of the river and the rate of the boat in still water respectively are: \n" ); document.write( "** \n" ); document.write( "let x=rate of speed of boat in still water \n" ); document.write( "let c=rate of speed of current \n" ); document.write( "net speed of boat downstream=x+c \n" ); document.write( "net speed of boat upstream=x-c \n" ); document.write( "distance = travel time*speed \n" ); document.write( ".. \n" ); document.write( "3(x+c)=72 \n" ); document.write( "6(x-c)=72 \n" ); document.write( ".. \n" ); document.write( "3x+3c=72 \n" ); document.write( "6x-6c=72 \n" ); document.write( ".. \n" ); document.write( "6x+6c=144 (mult.by 2) \n" ); document.write( "6x-6c=72 \n" ); document.write( "add \n" ); document.write( "12x=216 \n" ); document.write( "x=18 \n" ); document.write( "6c=144-6x=36 \n" ); document.write( "c=6 \n" ); document.write( "ans: \n" ); document.write( "rate of speed of boat in still water=18 mph \n" ); document.write( "rate of speed of current=6 mph \n" ); document.write( " |