document.write( "Question 270333: When the smaller of two consecutive integers is added to three times the larger the result is 147. Find the smaller integer.
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Algebra.Com's Answer #198058 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Question 270334 in Travel_Word_Problems: \r \n" ); document.write( "\n" ); document.write( "A freight train travels 90 miles in the same time that a passenger train travels 150 miles. If the passenger train goes 30 miles per hour faster than the freight train, what is the rate of each of them? \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "D=RT \n" ); document.write( "T=D/R \n" ); document.write( "T=90/R FOR THE FREIGHT TRAIN. \n" ); document.write( "T=150/(R+30) FOR THE PASSENGER TRAIN. \n" ); document.write( "90/R=150/(R+30) \n" ); document.write( "150R=90(R+30) \n" ); document.write( "150R=90R+2700 \n" ); document.write( "150R-90R=2700 \n" ); document.write( "60R=2700 \n" ); document.write( "R=2700/60 \n" ); document.write( "R=45 MPH. FOR THE FREIGHT TRAIN. \n" ); document.write( "PROOF: \n" ); document.write( "90/45=150/(45+30) \n" ); document.write( "2=150/75 \n" ); document.write( "2=2 \n" ); document.write( " \n" ); document.write( " |