
Problem
1.
Two
boys were walking through a narrow railroad tunnel which was exactly one
mile long.
The tunnel had distance markers every tenth of a mile, and just as
they got to the 0.6 mile marker, they heard a train whistle from the direction
they were walking. Both boys immediately started running in opposite directions.
One boy ran in the direction of the train because the mouth of the tunnel
was closer (0.4 miles) in that direction. The other boy ran away from
the train toward the end of the tunnel which was 0.6 miles away. Each
boy ran 10 miles per hour. As it turned out the boy who ran toward the
train got to the mouth of the tunnel at the same time the train entered
the tunnel and was barely able to jump out of the way. The boy who ran
away from the train reached the end of the tunnel at the same time as the
train reached the end of the tunnel and was also barely able to jump out
the way. How fast was the train going?
[Problem submitted by Vin Lee, LACC Associate Professor of Mathematics.]

