document.write( "Question 823532: If a boat is travelling at x mph for 3 hours upstream on a trip, and goes 2 mph faster on the return trip which lasts 2.5 hours, how far does the boat travel upstream? \n" ); document.write( "
Algebra.Com's Answer #495582 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! If a boat is travelling at x mph for 3 hours upstream on a trip, and goes 2 mph faster on the return trip which lasts 2.5 hours, how far does the boat travel upstream? \n" ); document.write( "------ \n" ); document.write( "Upstream DATA: \n" ); document.write( "time = 3 hrs ; rate = x mph ; distance = 3x miles \n" ); document.write( "---- \n" ); document.write( "Downstream DATA: \n" ); document.write( "time = 2.5 hrs ; rate = (x+2) mph ; distance = (5/2)(x+2) miles \n" ); document.write( "--------- \n" ); document.write( "Equation: \n" ); document.write( "distance up = distance back \n" ); document.write( "3x = (5/2)x + 5 \n" ); document.write( "(1/2)x = 5 \n" ); document.write( "x = 10 mph \n" ); document.write( "----- \n" ); document.write( "Distance = 3x = 30 miles \n" ); document.write( "============================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------ \n" ); document.write( " |