document.write( "Question 951096: A motorboat takes 4 hours to travel 128km going upstream. The return trip takes 2 hours going downstream. What is the rate of the boat in still water and what is the rate of the current? \n" ); document.write( "
Algebra.Com's Answer #580772 by macston(5194)![]() ![]() You can put this solution on YOUR website! r=rate of boat in still water, c=current \n" ); document.write( "128 km/ 4hours=r-c=32 km/hr \n" ); document.write( "128 km/2 hours=r+c=64 km/hr \n" ); document.write( "r-c=32 km/hr add c to each side \n" ); document.write( "r=32 km/hr+c \n" ); document.write( "r+c=64 km hr Substitute for r \n" ); document.write( "32 km/hr + c + c=64 km/hr Subtract 32 km/hr from each side. \n" ); document.write( "2c=32 km/hr Divide each side by 2. \n" ); document.write( "c=16 km/hr ANSWER 1: The current is 16 km/hr \n" ); document.write( "r=32 km/hr + c=32 km/hr+ 16 km/hr=48 km/hr \n" ); document.write( "ANSWER 2: The speed of the boat in still water would be 48 km/hr.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |