document.write( "Question 608285: A motor boat traveled 12 miles with the current, turned around, and returned 12 miles against the current to its starting point. The trip with the current took 2 hours and the trip against took 3 hours. Find the speed of the boat and the speed of the current. \n" ); document.write( "
Algebra.Com's Answer #383129 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A motor boat traveled 12 miles with the current, turned around, and returned 12 miles against the current to its starting point. The trip with the current took 2 hours and the trip against took 3 hours. Find the speed of the boat and the speed of the current. \n" ); document.write( "--------------------------- \n" ); document.write( "With current DATA: \n" ); document.write( "distance = 12 miles ; time = 2 hrs ; rate = d/t = 12/2 = 6 mph \n" ); document.write( "---- \n" ); document.write( "Against current DATA: \n" ); document.write( "distance = 12 miles ; time = 3 hrs ; rate = d/t = 12/3 = 4 mph \n" ); document.write( "------ \n" ); document.write( "Equation: \n" ); document.write( "b + c = 6 mph \n" ); document.write( "b - c = 4 mph \n" ); document.write( "------- \n" ); document.write( "2b = 10 \n" ); document.write( "b = 5 mph (speed of the boat in still water) \n" ); document.write( "---- \n" ); document.write( "Solve for \"c\": \n" ); document.write( "b + c = 6 \n" ); document.write( "5 + c = 6 \n" ); document.write( "c = 1 mph (speed of the current) \n" ); document.write( "======================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |