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)\"\" \"About 
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( "
\n" );