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.]