document.write( "Question 795757: At the beginning of the marathon Rizza and Angel are 30 km apart. If they leave at the same time and walk in the same direction, Rizza overtakes Angel in 6 hours. If they walk towards each other, they meet in 5 hours. What are their speeds? \n" ); document.write( "
Algebra.Com's Answer #481198 by ankor@dixie-net.com(22740)\"\" \"About 
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r = R's speed
\n" ); document.write( "a = A's speed
\n" ); document.write( ":
\n" ); document.write( "At the beginning of the marathon Rizza and Angel are 30 km apart.
\n" ); document.write( " If they leave at the same time and walk in the same direction, Rizza overtakes Angel in 6 hours.
\n" ); document.write( " If they walk towards each other, they meet in 5 hours.
\n" ); document.write( " What are their speeds?
\n" ); document.write( ":
\n" ); document.write( "Walking the same direction
\n" ); document.write( "6(r - a) = 30
\n" ); document.write( "Simplify, divide both sides by 6
\n" ); document.write( "r - a = 5
\n" ); document.write( ":
\n" ); document.write( "Walking towards each other
\n" ); document.write( "5(r + a) = 30
\n" ); document.write( "divide both sides by 5
\n" ); document.write( "r + a = 6
\n" ); document.write( ":
\n" ); document.write( "Use elimination with these two simplified equations
\n" ); document.write( "r - a = 5
\n" ); document.write( "r + a = 6
\n" ); document.write( "----------Adding eliminates a, find r
\n" ); document.write( "2r = 11
\n" ); document.write( "r = 11/2
\n" ); document.write( "r = 5.5 km/hr is R's speed
\n" ); document.write( "then using equation; r + a = 6, find a
\n" ); document.write( "5.5 + a = 6
\n" ); document.write( "a = 6 - 5.5
\n" ); document.write( "a = .5 km/hr is A's speed
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "You can confirm this, put these values in the two original equations \n" ); document.write( "
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