document.write( "Question 883601: A train is traveling at a constant rate. If it passes through a 360 meter long tunnel, it takes 16 seconds. If the train passes over a 1.2 kilometre bridge, it takes 40 seconds. How long is the train? \n" ); document.write( "
Algebra.Com's Answer #533640 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
A train is traveling at a constant rate.
\n" ); document.write( " If it passes through a 360 meter long tunnel, it takes 16 seconds.
\n" ); document.write( " If the train passes over a 1.2 kilometre bridge, it takes 40 seconds.
\n" ); document.write( " How long is the train?
\n" ); document.write( ":
\n" ); document.write( "Change 1.2 km to 1200 meters
\n" ); document.write( ":
\n" ); document.write( "Let s = the speed of the train
\n" ); document.write( "Let L = the length of the train
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each scenario
\n" ); document.write( ":
\n" ); document.write( "Find the speed
\n" ); document.write( "L + 1200 = 40s
\n" ); document.write( "L + 360 = 16s
\n" ); document.write( "-----------------Subtraction eliminates L, find s
\n" ); document.write( "840 = 24s
\n" ); document.write( "s = 840/24
\n" ); document.write( "s = 35 km/hr is the speed of the train
\n" ); document.write( ":
\n" ); document.write( "Find L
\n" ); document.write( "L + 360 = 16(35)
\n" ); document.write( "L + 360 = 560
\n" ); document.write( "L = 560 - 360
\n" ); document.write( "L = 200 meters is the length of the train
\n" ); document.write( ":
\n" ); document.write( ";
\n" ); document.write( "Confirm this by finding the length using the other equation
\n" ); document.write( "L + 1200 = 40(35)
\n" ); document.write( "L = 1400 - 1200
\n" ); document.write( "L = 200 meters \n" ); document.write( "
\n" );