document.write( "Question 835581: A passenger train leaves a depot 1.5 h after a freight train leaves the same depot. The passenger train is traveling 18mph faster than the freight train. Find the rate of each train if the passenger train overtakes the freight train in 2.5h. \n" ); document.write( "
Algebra.Com's Answer #503627 by stanbon(75887)\"\" \"About 
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A passenger train leaves a depot 1.5 h after a freight train leaves the same depot. The passenger train is traveling 18mph faster than the freight train. Find the rate of each train if the passenger train overtakes the freight train in 2.5h.
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\n" ); document.write( "Freight train DATA:
\n" ); document.write( "rate = r mph ; time = 4 hr ; distance = 4r miles
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\n" ); document.write( "Passenger train DATA:
\n" ); document.write( "rate = r+18 mph ; time = 2.5 hr distance = 2.5(r+18) miles
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\n" ); document.write( "Equation:
\n" ); document.write( "distance = distance
\n" ); document.write( "4r = 2.5(r+18)
\n" ); document.write( "4r = 2.5r + 45
\n" ); document.write( "1.5r = 45
\n" ); document.write( "r = 30 mph (freight rate)
\n" ); document.write( "r + 18 mph (passenger rate)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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