document.write( "Question 247794: a steamboat travels 14 km/h faster than a freighter. the steamboat travels 84km in the same time the freighter travels 49 km. what is the speed of each boat? \n" ); document.write( "
Algebra.Com's Answer #180643 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! a steamboat travels 14 km/h faster than a freighter. the steamboat travels 84km in the same time the freighter travels 49 km. what is the speed of each boat? \n" ); document.write( "----------------------- \n" ); document.write( "Freighter DATA: \n" ); document.write( "rate = x km/h ; distance = 49 km ; time = d/r = 49/x hrs \n" ); document.write( "-------------------------- \n" ); document.write( "Steamboat DATA: \n" ); document.write( "rate = x+14 km/h ; distance = 84 km ; time = d/r = 84/(x+14) hrs \n" ); document.write( "-------------------------- \n" ); document.write( "Equation: \n" ); document.write( "time = time \n" ); document.write( "49/x = 84/(x+14) \n" ); document.write( "84x = 49(x+14) \n" ); document.write( "84x = 49x + 49*14 \n" ); document.write( "35x = 48*14 \n" ); document.write( "x = 19.2 km/h (speed of the freighter) \n" ); document.write( "x+14 = 33.2 km/h (speed of the steamboat) \n" ); document.write( "============================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |