document.write( "Question 1059999: A boat sails 30km at a uniform rate. If the rate had been 1 km/h more, the time of the sailing would have been 1h less. Find the rate of travel. \n" ); document.write( "
Algebra.Com's Answer #675036 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A boat sails 30km at a uniform rate. If the rate had been 1 km/h more, the time of the sailing would have been 1h less. Find the rate of travel. \n" ); document.write( "----------------- \n" ); document.write( "slower rate DATA: \n" ); document.write( "dist = 30 km ; rate = x kph ; time = d/r = 30/x hrs \n" ); document.write( "------ \n" ); document.write( "faster rate DATA: \n" ); document.write( "dist = 30 km ; rate = (x+1) kph ; time = d/r = 30/(x+1) hrs \n" ); document.write( "------ \n" ); document.write( "slower - faster = 1 hr \n" ); document.write( "------ \n" ); document.write( "30/x - 30/(x+1) = 1 \n" ); document.write( "-------------------------------- \n" ); document.write( "30(x+1) - 30x = x^2+x \n" ); document.write( "---------------------------------- \n" ); document.write( "x^2 + x - 30 = 0 \n" ); document.write( "------ \n" ); document.write( "(x+6)(x-5) = 0 \n" ); document.write( "----- \n" ); document.write( "Ans: slower rate = x = 5 km/h \n" ); document.write( "faster rate = x+1 = 6 km/h \n" ); document.write( "---------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------ \n" ); document.write( " \n" ); document.write( " |