document.write( "Question 457504: A grain barge travels on a river from point A to point B loading and unloading grain. A grain barge travels on a river from point A to point B loading and unloading grain. The barge travels at a rate of 4 mph relative to the water. The river flows downstream at a rate of 1 mph. If the trip upstream takes 2 hours longer than the trip downstream, how far is it from point A to point B? \n" ); document.write( "
Algebra.Com's Answer #313902 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A grain barge travels on a river from point A to point B loading and unloading grain. \n" ); document.write( "The barge travels at a rate of 4 mph relative to the water. The river flows downstream at a rate of 1 mph. \n" ); document.write( "If the trip upstream takes 2 hours longer than the trip downstream, \n" ); document.write( "---------------------- \n" ); document.write( "How far is it from point A to point B? \n" ); document.write( "---------------------- \n" ); document.write( "Downstream DATA: \n" ); document.write( "time = x hrs ; rate = 4+1 mph ; distance = t*r = 5x miles \n" ); document.write( "---- \n" ); document.write( "Upstream DATA: \n" ); document.write( "time = x+2 hrs ; rate = 4-1 mph; distance = t*r = 3(x+2) \n" ); document.write( "---- \n" ); document.write( "Equation: \n" ); document.write( "distance = distance \n" ); document.write( "5x = 3(x+2) \n" ); document.write( "5x = 3x+6 \n" ); document.write( "2x = 6 \n" ); document.write( "x = 3 hrs \n" ); document.write( "---- \n" ); document.write( "Distance = 5x = 15 miles from A to B \n" ); document.write( "======================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |