document.write( "Question 761073: MATH QUESTION~
\n" ); document.write( "please help! \r
\n" ); document.write( "\n" ); document.write( "The diffeence in the average speeds of two trains is 25 km/h, the faster train takes 2 hours less to travel 150km than the slower train takes to travel 125km. Find the speeds of the two trains. \r
\n" ); document.write( "\n" ); document.write( "I only know that-
\n" ); document.write( "Distance= speed x times
\n" ); document.write( "Speed= Distance divided by times
\n" ); document.write( "Time= Distance diveded by speed
\n" ); document.write( "Please help! \r
\n" ); document.write( "\n" ); document.write( "Thank You
\n" ); document.write( ":D \n" ); document.write( "
Algebra.Com's Answer #463009 by Cromlix(4381)\"\" \"About 
You can put this solution on YOUR website!
150/(x - 2) - 125/x = 25
\n" ); document.write( "Denominator= x(x - 2)
\n" ); document.write( "150x - 125(x-2) = 25(x(x-2))
\n" ); document.write( "150x - 125x + 250 = 25x^2 - 50x
\n" ); document.write( "Rearrange
\n" ); document.write( "25x^2 - 50x - 150x + 125x + 250 = 0
\n" ); document.write( "25x^2 - 75x + 250 = 0
\n" ); document.write( "Divide by 25
\n" ); document.write( " x^2 - 3x + 10 = 0
\n" ); document.write( " (x - 5)(x + 2) = 0
\n" ); document.write( "So x = -2 (no answer)
\n" ); document.write( "x = 5
\n" ); document.write( "Proof
\n" ); document.write( "150/(5 - 2) - 125/5 = 25
\n" ); document.write( "150/3 - 125/5 = 25
\n" ); document.write( " 50 - 25 = 25
\n" ); document.write( "50km/hr and 25 km/hr
\n" ); document.write( "Hope this helps.
\n" ); document.write( ":-) \n" ); document.write( "
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