document.write( "Question 385552: at full speed, a motor boat can travel 32 miles upstream in 8 hours, but it can travle the same distance downstram in 4 hours. What is the rate of the current in miles per hour. \n" ); document.write( "
Algebra.Com's Answer #272765 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! At full speed, a motor boat can travel 32 miles upstream in 8 hours, but it can travel the same distance downstram in 4 hours. What is the rate of the current in miles per hr. \n" ); document.write( "--------------------------- \n" ); document.write( "Upstream DATA: \n" ); document.write( "distance = 32 miles; time = 8 hrs ; rate = 32/8 = 4 mph \n" ); document.write( "----- \n" ); document.write( "Downstream DATA: \n" ); document.write( "distance = 32 miles ; time = 4 hrs ; rate = 32/4 8 mph \n" ); document.write( "----- \n" ); document.write( "Equation: \n" ); document.write( "Let boat speed = b \n" ); document.write( "Let current speed = c \n" ); document.write( "--- \n" ); document.write( "b-c = 4 \n" ); document.write( "b+c = 8 \n" ); document.write( "--- \n" ); document.write( "2b = 12 \n" ); document.write( "b = 6 mph (speed of the boat in still water)\ \n" ); document.write( "---- \n" ); document.write( "Since b + c = 8, c = 2 mph \n" ); document.write( "============================= \n" ); document.write( "cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============================= \n" ); document.write( " |