document.write( "Question 1164936: x takes 3 hrs more than y to walk 30 km. but if x doubles his pace he is ahead of y by 1 1/2 hours.find their speed of walking \n" ); document.write( "
Algebra.Com's Answer #789410 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "x takes 3 hrs more than y to walk 30 km. but if x doubles his pace he is ahead of y by 1 1/2 hours.find their speed of walking
\n" ); document.write( "
It may be easier to find the time 1st, but I always like to ZERO IN right away on the answers that're needed.
\n" );
document.write( "Let x's and y's speeds be x and y, respectively
\n" );
document.write( "We then get the following TIME equation: \"matrix%282%2C3%2C+3%2C+%22=%22%2C+30%2Fx+-+30%2Fy%2C+1%2C+%22=%22%2C+10%2Fx+-+10%2Fy%29\"
\n" );
document.write( "                                         xy = 10y - 10x ------ eq (i)
\n" );
document.write( "                            We also get: 
\n" );
document.write( "                                         xy = - 10y + 20x ------ eq (ii)
\n" );
document.write( "                                         2xy = 10x ------ Adding eqs (i) & (ii)
\n" );
document.write( "                                         y's speed, or 
\n" );
document.write( "                           x(5) = 10(5) - 10x ------ Substituting 5 for y in eq (i)
\n" );
document.write( "                           5x = 50 - 10x
\n" );
document.write( "                           5x + 10x = 50
\n" );
document.write( "                           15x = 50
\n" );
document.write( "                           x's speed, or  \n" );
document.write( "
\n" );