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)\"\" \"About 
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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.
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\n" ); document.write( "When they meet:
\n" ); document.write( "A: travels (D-R)
\n" ); document.write( "B: travels (D+R)
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\n" ); document.write( "Their travel time is the same; write a time equation: time = dist/speed
\n" ); document.write( "\"%28D-R%29%2F%28S1%29\" = \"%28D%2BR%29%2F%28S2%29\"
\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 = \"%28R%28S1%2BS2%29%29%2F%28%28S2-S1%29%29\" is the distance from P to Q
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