document.write( "Question 1005422: TWO PERSONS 27 KM APART STARTING AT THE SAME TIME ARE TOGETHER IN 9 HOURS IF THEY WALK IN SAME DIRECTION BUT 3 HOURS IF THEY WALK IN OPPOSITE DIRECTION. FIND OUT SPEED OF EACH MAN. \n" ); document.write( "
Algebra.Com's Answer #621751 by ankor@dixie-net.com(22740)\"\" \"About 
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TWO PERSONS 27 KM APART STARTING AT THE SAME TIME ARE TOGETHER IN 9 HOURS IF THEY WALK IN SAME DIRECTION
\n" ); document.write( " BUT 3 HOURS IF THEY WALK IN OPPOSITE DIRECTION. FIND OUT SPEED OF EACH MAN.
\n" ); document.write( ":
\n" ); document.write( "let a = speed of the faster man
\n" ); document.write( "let b - speed of the slower
\n" ); document.write( ":
\n" ); document.write( "When they walk toward each other their relative speeds are added
\n" ); document.write( "(a + b)
\n" ); document.write( "When they walk the same direction their relative speeds are subtracted
\n" ); document.write( "(a - b)
\n" ); document.write( ":
\n" ); document.write( "Write a distance equation for each way. time * speed = dist
\n" ); document.write( "9(a - b) = 27
\n" ); document.write( "3(a + b) = 27
\n" ); document.write( "Simplify; divide the first equation by 9, the 2nd equation by 3, you have;
\n" ); document.write( "a - b = 3
\n" ); document.write( "a + b = 9
\n" ); document.write( "------------Adding eliminates b, find a
\n" ); document.write( "2a = 12
\n" ); document.write( "a = 6 km/hr for the fast guy
\n" ); document.write( ":
\n" ); document.write( "find b using a + b = 9
\n" ); document.write( "6 + b = 9
\n" ); document.write( "b = 9 - 6
\n" ); document.write( "b = 3 km/hr speed of the slow guy
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this in the 1st original equation
\n" ); document.write( "9(6 - 3) = 27
\n" ); document.write( " \n" ); document.write( "
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