document.write( "Question 307543: Trains A and B are travelling in the same direction on parallel tracks. Train A is travelling at 80 miles per hour and Train B is travelling at 96 miles per hour. Train A passes a station at 12:15 a.m. If Train B passes that same station at 12:30 a.m., at what time will Train B catch up to Train A? \n" ); document.write( "
Algebra.Com's Answer #220020 by checkley77(12844)\"\" \"About 
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D=RT
\n" ); document.write( "D=80T TRAIN A
\n" ); document.write( "D=96(T-.25) TRAIN B
\n" ); document.write( "THE DISTANCES ARE THE SAME THUS SET THE 2 EQUATIONS EQUAL & SOLVE FOR T.
\n" ); document.write( "80T=96(T-.25)
\n" ); document.write( "80T=96T-24
\n" ); document.write( "80T-96T=-24
\n" ); document.write( "-16T=-24
\n" ); document.write( "T=-24/-16
\n" ); document.write( "T=1.5 HOURS AFTER TRAIN LEAVES THEY WILL MEET.
\n" ); document.write( "PROOF:
\n" ); document.write( "80*1.5=96(1.5-.25)
\n" ); document.write( "120=96*1.25
\n" ); document.write( "120=120
\n" ); document.write( "
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