document.write( "Question 461946: Two trains are traveling at 250 miles apart and traveling towards each other . They meet in 4 hours . If one train's speed is 10 miles faster than the other . Find the speed of both trains \n" ); document.write( "
Algebra.Com's Answer #316737 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Two trains are traveling at 250 miles apart and traveling towards each other . They meet in 4 hours . If one train's speed is 10 miles faster than the other . Find the speed of both trains.
\n" ); document.write( "..
\n" ); document.write( "let x=speed of one train
\n" ); document.write( "x+10 = speed of other faster train
\n" ); document.write( "travel time = distance/speed
\n" ); document.write( "travel time of slower train=250/x
\n" ); document.write( "travel time of faster train=250/(x+10)
\n" ); document.write( "250/x+250/(x+10)=4
\n" ); document.write( "LCD:x(x+10)
\n" ); document.write( "250x+2500+250x=4x^2+40x
\n" ); document.write( "4^x^2-460x-2500=0
\n" ); document.write( "divide by 4
\n" ); document.write( "x^2-115-625=0
\n" ); document.write( "solve by quadratic formula:
\n" ); document.write( "a=1, b=-115, c=-625
\n" ); document.write( "x=[-(-115)ħsqrt((-115)^2-(4*1*-625)]/2*1
\n" ); document.write( "x=[115ħsqrt(15725)]/2
\n" ); document.write( "x=[115ħ125.4]/2
\n" ); document.write( "x=120.2
\n" ); document.write( "or
\n" ); document.write( "x=-5.2 (reject, x>0)
\n" ); document.write( "ans:
\n" ); document.write( "speed of slower train=120.2 mph
\n" ); document.write( "speed of faster train=130.2 mph \n" ); document.write( "
\n" );