document.write( "Question 1131885: I need help solving this problem, \"After driving at a certain speed for 5 hours Dave realizes that he could have covered the same distance in 3 hours if he had driven 22 mph faster. What distance did he travel during the 5 hour trip?\" \n" ); document.write( "
Algebra.Com's Answer #748598 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! rate * time = distance \n" ); document.write( ": \n" ); document.write( "let r be Dave's initial rate and d be the distance of Dave's trip \n" ); document.write( ": \n" ); document.write( "r * 5 = d \n" ); document.write( ": \n" ); document.write( "(r+22) * 3 = d \n" ); document.write( ": \n" ); document.write( "5r = 3 * (r+22) \n" ); document.write( ": \n" ); document.write( "5r = 3r +66 \n" ); document.write( ": \n" ); document.write( "2r = 66 \n" ); document.write( ": \n" ); document.write( "r = 33 \n" ); document.write( ": \n" ); document.write( "******************************** \n" ); document.write( "33 * 5 = 165 \n" ); document.write( ": \n" ); document.write( "he traveled 165 miles in 5 hours \n" ); document.write( "******************************** \n" ); document.write( ": \n" ); document.write( " |