document.write( "Question 298907: The speed of a passenger train is 10mph faster than the speed of a freight train. The passenger train travels 290 miles in the same time it takes the freight train to travel 240 miles. Find the speed of each train. A) Passenger train_? B) Freight train_ (mph)? \n" ); document.write( "
Algebra.Com's Answer #214933 by checkley77(12844)\"\" \"About 
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D=RT
\n" ); document.write( "290=(R+10)T PASSENGER TRAIN
\n" ); document.write( "T=290/(R+10)
\n" ); document.write( "240=RT FREIGHT TRAIN
\n" ); document.write( "T=240/R
\n" ); document.write( "290/(R+10)=240/R
\n" ); document.write( "290R=240(R+10)
\n" ); document.write( "290R=240R+2400
\n" ); document.write( "290R-240R=2400
\n" ); document.write( "50R=2400
\n" ); document.write( "R=2400/50
\n" ); document.write( "R=48 MPH FOR THE FREIGHT TRAIN.
\n" ); document.write( "48+10=58 MPH FOR THE PASSENGER TRAIN.
\n" ); document.write( "240=48T
\n" ); document.write( "T=240/48
\n" ); document.write( "T=5 HOURS IS THE TIME OF THE TRIP.
\n" ); document.write( "PROOF:
\n" ); document.write( "290=58*5
\n" ); document.write( "290=290
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