document.write( "Question 332108: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 100 miles per hour and train B is traveling at 104 miles per hour. Train A passes a station at 9:25 PM. If B passes the same station at 9:55 P.M at what time will train B catch up to A? \n" ); document.write( "
Algebra.Com's Answer #238052 by checkley77(12844) ![]() You can put this solution on YOUR website! D=RT \n" ); document.write( "D=100T FOR TRAIN A. \n" ); document.write( "D=104(T-.5) FOR TRAIN B. \n" ); document.write( "THE DISTANCES ARE THE SAME SO SET THE 2 EQUATIONS EQUAL & SOLVE FOR T. \n" ); document.write( "100T=104(T-.5) \n" ); document.write( "100T=104T-52 \n" ); document.write( "100T-104T=-52 \n" ); document.write( "-4T=-52 \n" ); document.write( "T=-52/-4 \n" ); document.write( "T=13 HOURS AFTER TRAIN A LEAVES THE STATION TRAIN B WILL CATCH TRAIN A. \n" ); document.write( "PROOF: \n" ); document.write( "100*13=104(13-.5) \n" ); document.write( "1,300=1,352-52 \n" ); document.write( "1,300=1,300 \n" ); document.write( " \n" ); document.write( " |