document.write( "Question 752791: two swimmers swim towards each other with constant velocity,they meet each other at 50 km from east ,turn around & go to their respective ends and meet again at 20km from west.what is the total length of pool? \n" ); document.write( "

Algebra.Com's Answer #458102 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
You must mean meters not km here.
\n" ); document.write( ":
\n" ); document.write( "two swimmers swim towards each other with constant velocity,
\n" ); document.write( "they meet each other at 50 m from east, turn around & go to
\n" ); document.write( " their respective ends and meet again at 20 m from west.
\n" ); document.write( "what is the total length of pool?
\n" ); document.write( ":
\n" ); document.write( "Let x = the length of the pool
\n" ); document.write( ":
\n" ); document.write( "Their first meeting
\n" ); document.write( "1st swimmer travels 50 m east
\n" ); document.write( "2nd swimmer travels (x-50) m from the west
\n" ); document.write( ":
\n" ); document.write( "Their second meeting
\n" ); document.write( "1st swimmer travels (x-50) + 20 = (x-30)
\n" ); document.write( "2nd swimmer travels 50 + (x-20) = (x+30)
\n" ); document.write( ":
\n" ); document.write( "The ratio of the distances of the swimmers is the same for each scenario
\n" ); document.write( " $\"50%2F%28%28x-50%29%29\"$ = $\"%28%28x-30%29%29%2F%28%28x%2B30%29%29\"$
\n" ); document.write( "cross multiply
\n" ); document.write( "50(x+30) = (x-50)(x-30)
\n" ); document.write( "FOIL
\n" ); document.write( "50x + 1500 = x^2 - 30x - 50x + 1500
\n" ); document.write( "50x + 1500 = x^2 - 80x + 1500
\n" ); document.write( "subtract 1500 from both sides
\n" ); document.write( "50x = x^2 - 80x
\n" ); document.write( "0 = x^2 - 80x - 50x
\n" ); document.write( "x^2 - 130x = 0
\n" ); document.write( "x^2 = 130x
\n" ); document.write( "divide both sides by x
\n" ); document.write( "x = 130 meters is the length of the pool \n" ); document.write( "

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