document.write( "Question 907726: Richard Stewart commutes to work by first driving on country roads at an average speed of 45 miles per hour. He then drives on the interstate highway at an average speed of 75 miles or hour. Richards total commuting distance is 42 miles and his total commuting time is 0.6 hours. Determine the time Richard spends driving on country and the time he spends driving on the interstate highway. \n" ); document.write( "
Algebra.Com's Answer #550527 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Richard Stewart commutes to work by first driving on country roads at an average speed of 45 miles per hour. He then drives on the interstate highway at an average speed of 75 miles or hour. Richards total commuting distance is 42 miles and his total commuting time is 0.6 hours. Determine the time Richard spends driving on country and the time he spends driving on the interstate highway. \n" ); document.write( "*** \n" ); document.write( "let x=distance Richard spends driving on country roads \n" ); document.write( "42-x=distance Richard spends driving on the interstate highway \n" ); document.write( "travel time=distance/speed \n" ); document.write( ".. \n" ); document.write( " \n" ); document.write( "75x+45(42-x)=.6*45*75 \n" ); document.write( "75x+1890-45x=2025 \n" ); document.write( "30x=135 \n" ); document.write( "x=4.5 miles \n" ); document.write( "42-x=37.5 miles \n" ); document.write( "4.5/45=0.10 \n" ); document.write( "45/37.5=0.50 \n" ); document.write( "time Richard spends driving on country roads=0.10 hr \n" ); document.write( "time Richard spends driving on the interstate highway=0.50 hr \n" ); document.write( " |