document.write( "Question 372553: Sylvia walked to Cathy's house at 2km/h, and then rode a bicycle back to her own house at 10km/h. The entire trip took 3 hours. How long a time did Sylvia walk? \n" ); document.write( "
Algebra.Com's Answer #265385 by ayalyaniv(6) ![]() You can put this solution on YOUR website! Since this is a distance problem, you would use the rt=d equation. \n" ); document.write( "2(t)=d \n" ); document.write( "10(3-t)=d \n" ); document.write( "You are not given the distance between Sylvia's and Cathy's houses, but since it is a two-way trip, you know that both equations cover the same distance. \n" ); document.write( "So you can write 2(t)=10(3-t) \n" ); document.write( "Multiply out 2t=30-10t \n" ); document.write( "Transposing you get 12t=30. \n" ); document.write( "Dividing by 12 you get t=2.5 \n" ); document.write( "Sylvia walked for 2.5 hours (and rode for half an hour) \n" ); document.write( " \n" ); document.write( " |