document.write( "Question 344588: The speed of a passenger train is 14 mph faster than the speed of a freight train. The passenger train travels 270 miles in the same time it takes the freight train to travel 200 miles. Find the speed of each train. \n" ); document.write( "
Algebra.Com's Answer #246625 by Fombitz(32388)\"\" \"About 
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Rate*Time=Distance
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\n" ); document.write( "\"R%2At=D\"
\n" ); document.write( "1.\"R%5Bp%5D%2At=270\"
\n" ); document.write( "2.\"R%5Bf%5D%2At=200\"
\n" ); document.write( "3.\"R%5Bp%5D=R%5Bf%5D%2B14\"
\n" ); document.write( "Substitute eqs. 1 and 2 into eq. 3,
\n" ); document.write( "From eq. 1,
\n" ); document.write( "\"t=270%2FR%5Bp%5D\"
\n" ); document.write( "From eq. 2,
\n" ); document.write( "\"t=200%2FR%5Bf%5D\"
\n" ); document.write( "Set them equal to each other,
\n" ); document.write( "\"270%2FR%5Bp%5D=200%2FR%5Bf%5D\"
\n" ); document.write( "\"270%2AR%5Bf%5D=200%2AR%5Bp%5D\"
\n" ); document.write( "\"R%5Bf%5D=%2820%2F27%29%2AR%5Bp%5D\"
\n" ); document.write( "Substitute into eq. 3,
\n" ); document.write( "\"R%5Bp%5D=%2820%2F27%29%2AR%5Bp%5D%2B14\"
\n" ); document.write( "\"R%5Bp%5D%281-20%2F27%29=14\"
\n" ); document.write( "\"R%5Bp%5D%2827%2F27-20%2F27%29=14\"
\n" ); document.write( "\"R%5Bp%5D%287%2F27%29=14\"
\n" ); document.write( "\"R%5Bp%5D=%2827%2A14%29%2F7\"
\n" ); document.write( "\"highlight%28R%5Bp%5D=54%29\"mph
\n" ); document.write( "Then from eq. 3,
\n" ); document.write( "\"highlight%28R%5Bf%5D=40%29\"mph
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