document.write( "Question 484477: How would I solve this problem? Like what would my equations be to solve it?? : You commute 56 miles one way to work. The trip to work takes 10 minutes longer than the trip home. Your average speed on the trip home is 8 miles per hour faster. What is your average speed on the trip home? \n" ); document.write( "
Algebra.Com's Answer #331495 by jorel1380(3719)![]() ![]() You can put this solution on YOUR website! 56/n=56/(n+8)+10/60(hours) \n" ); document.write( "56/n=56/(n+8)+1/6 \n" ); document.write( "56(6)(n+8)=56(6)(n)+n(n+8) \n" ); document.write( "336n+2688=336n+n2+8n \n" ); document.write( "n2+8n-2688=0 \n" ); document.write( "(n+56)(n-48)=0 \n" ); document.write( "n=48 or -56 \n" ); document.write( "Throwing out the negative answer, we get n=48. The trip home is 48+8, or 56 mph.. \n" ); document.write( " |