document.write( "Question 151673: a train leaves station m and travels west at 35 km/hr. One hour later, a faster train leaves station m and also travels west on a parallel track at 40 km/hr. How far from station m will the faster train catch the slower one? \n" ); document.write( "
Algebra.Com's Answer #111556 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! leaves station m and travels west at 35 km/hr. One hour later, a faster train leaves station m and also travels west on a parallel track at 40 km/hr. How far from station m will the faster train catch the slower one? \n" ); document.write( ": \n" ); document.write( "Find the time required for the faster train to catch up, then find the distance \n" ); document.write( "Let t = time for the faster train \n" ); document.write( "then \n" ); document.write( "(t+1) = time for slower train \n" ); document.write( "; \n" ); document.write( "When this happens they will have traveled the same distance \n" ); document.write( "Write a distance equation: Dist = speed * time \n" ); document.write( ": \n" ); document.write( "Fast train dist = slow train dist \n" ); document.write( "40t = 35(t+1) \n" ); document.write( ": \n" ); document.write( "40t = 35t + 35 \n" ); document.write( ": \n" ); document.write( "40t - 35t = 35 \n" ); document.write( ": \n" ); document.write( "5t = 35 \n" ); document.write( "t = \n" ); document.write( "t = 7 hrs \n" ); document.write( ": \n" ); document.write( "Find the dist using the slow train (travel time 8 hrs) \n" ); document.write( "35 * 8 = 280 mi \n" ); document.write( ": \n" ); document.write( "Check solution using the fast train \n" ); document.write( "40 * 7 = 280 mi \n" ); document.write( " |