document.write( "Question 335532: On a weekend trip you average 35 miles per hour in the city and 60 miles per hour on the highway. If the 150 mile trip took 3 hours how much of the time were you droning in the city \n" ); document.write( "
Algebra.Com's Answer #240649 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! Let C = hours in city \n" ); document.write( "Let H = hours on highway\r \n" ); document.write( "\n" ); document.write( "35C + 60H = 150 \n" ); document.write( "C + H = 3\r \n" ); document.write( "\n" ); document.write( "Let's solve this by eliminating H. \n" ); document.write( "Multiply both sides of the second equation by 60: \n" ); document.write( "60C + 60H = 180\r \n" ); document.write( "\n" ); document.write( "Now subtract the original first equation: \n" ); document.write( "(60C + 60H) - (35C + 60H) = 180 - 150\r \n" ); document.write( "\n" ); document.write( "Simplify by combining like terms: \n" ); document.write( "25C = 30\r \n" ); document.write( "\n" ); document.write( "Divide both sides by 25: \n" ); document.write( "C = 30/25 = 6/5 hours, which is 72 minutes, or 1 1/5 hours, or 1 hour and 12 minutes, which is the same thing as 72 minutes. \n" ); document.write( " |