document.write( "Question 349731: Two railroad workers were working together in a 1.2 Km mountain tunnel when a signal light flashed indicating the approach of a train, which was traveling at 60 Km/hr. Walking east, one worker reached the east end of the tunnel in 6 minutes, as the train entered the tunnle. The other worker reached the west end of the tunnel in 6 minutes and was passed by the train .24 Km beyond the west end of the tunnel. At what rate did each worker walk? \n" ); document.write( "
Algebra.Com's Answer #250026 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Two railroad workers were working together in a 1.2 Km mountain tunnel when a \n" ); document.write( "signal light flashed indicating the approach of a train, which was traveling at 60 Km/hr. \n" ); document.write( "Walking east, one worker reached the east end of the tunnel in 6 minutes, as the \n" ); document.write( " train entered the tunnel. \n" ); document.write( "The other worker reached the west end of the tunnel in 6 minutes and was passed \n" ); document.write( " by the train .24 Km beyond the west end of the tunnel. \n" ); document.write( " At what rate did each worker walk? \n" ); document.write( ": \n" ); document.write( "Let w = the speed of the westbound worker \n" ); document.write( ": \n" ); document.write( "After 6 min the worker was at the west end of the tunnel, and the train was \n" ); document.write( "entering the east end of the tunnel, therefore \n" ); document.write( "train traveled 1.2 + .24 = 1.44 km while the worker traveled .24 km \n" ); document.write( "A ratio equation \n" ); document.write( " \n" ); document.write( "1.44w = 60 * .24 \n" ); document.write( "1.44w = 14.4 \n" ); document.write( "w = \n" ); document.write( "w = 10 km/hr (the worker was running for his life, not walking) \n" ); document.write( "; \n" ); document.write( "Find the traveling speed of the eastbound worker (e) \n" ); document.write( "6 min = .1 hrs \n" ); document.write( "Find the point in the tunnel they were originally. \n" ); document.write( ": \n" ); document.write( "In 6 min w covered a distance of 10 * .1 = 1 km to the west end. \n" ); document.write( "therefore the other worker's (e) only had to walk 1.2 - 1 = .2 km \n" ); document.write( "His speed: \n" ); document.write( "e = |