document.write( "Question 975668: To save fuel on the 240 km trip to their cottage, the smith family reduce their usual average speed by 20 km/h. This meant that their trip took 1 hour more than usual. What is their average speed? \n" ); document.write( "
Algebra.Com's Answer #597374 by stanbon(75887) ![]() You can put this solution on YOUR website! To save fuel on the 240 km trip to their cottage, the smith family reduce their usual average speed by 20 km/h. This meant that their trip took 1 hour more than usual. What is their average speed? \n" ); document.write( "------ \n" ); document.write( "Faster trip DATA: \n" ); document.write( "distance = 240 km ; rate = r km/hr ; time = d/r = 240/r hrs \n" ); document.write( "--------- \n" ); document.write( "Slower trip DATA: \n" ); document.write( "distance = 240 km ; rate = r-20 km/hr ; time = 240/(r-20) hrs \n" ); document.write( "------------- \n" ); document.write( "Equation: \n" ); document.write( "slower time - faster time = 1 hr \n" ); document.write( "----- \n" ); document.write( "240/(r-20) - 240/r = 1 \n" ); document.write( "------ \n" ); document.write( "240r - 240r + 240*20 = r(r-20) \n" ); document.write( "-------- \n" ); document.write( "r^2 - 20r - 20*240 = 0 \n" ); document.write( "------ \n" ); document.write( "Ans: r = 80 km/hr \n" ); document.write( "------------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "--------------\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |