document.write( "Question 879100: Two men A and B walk from P to Q a distance of 'D' at S1 and S2 km per hour. B reaches Q,returns immediately and meets A at R,find the distance from P to Q. I need an explanation for this rather than mere formula. thank you in advance. \n" ); document.write( "
Algebra.Com's Answer #530686 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Two men A and B walk from P to Q a distance of 'D' at S1 and S2 km per hour. B reaches Q,returns immediately and meets A at R,find the distance from P to Q. \n" ); document.write( ": \n" ); document.write( "When they meet: \n" ); document.write( "A: travels (D-R) \n" ); document.write( "B: travels (D+R) \n" ); document.write( ": \n" ); document.write( "Their travel time is the same; write a time equation: time = dist/speed \n" ); document.write( " \n" ); document.write( "Cross multiply \n" ); document.write( "S2(D-R) = S1(D+R) \n" ); document.write( "S2D - S2R = S1D + S1R \n" ); document.write( "S2D - S1D = S1R + S2R \n" ); document.write( "Factor out D & R \n" ); document.write( "D(S2-S1) = R(S1+S2) \n" ); document.write( "D = |