MatheMagics Asia

Puzzle # 1

On a train, Smith, Robinson, and Jones are the fireman, the brakeman, and the engineer (not necessarily respectively). Also aboard the train are three passengers with the same names, Mr. Smith, Mr. Robinson, and Mr. Jones.

(1) Mr. Robinson is a passenger. He lives in Detroit.
(2) The brakeman lives exactly halfway between Chicago and Detroit.
(3) Mr. Jones is a passenger. He earns exactly $20,000 per year.
(4) The brakeman's nearest neighbor, one of the passengers, earns exactly three times as much as the brakeman.
(5) Smith is not a passenger. He beats the fireman in billiards.
(6) The passenger whose name is the same as the brakeman's lives in Chicago.

Who is the engineer?

Puzzle # 2

There are 4 friends crossing a jungle at night and there is a lion coming behind them. They reach an old bridge that they need to cross to escape from the lion (lions are afraid to cross bridges) and they estimate that the lion will take about 17 minutes to reach them.

However, it is not so easy to cross the bridge. There are some challenges:

Since it is night time and because the bridge has broken parts, you need a lantern to cross the bridge. (Fortunately they have just 1 lantern with them)
These 4 people all walk at different speeds and the times they take to cross the bridge are: 1 minute, 2 minutes, 5 minutes and 10 minutes
Since the bridge is old, it can only take the weight of two people maximum at a time. So when two people cross with a lantern, one of them has to come back to the starting point before two more can cross with the lantern.
Also, when two people are crossing, they have to walk at the speed of the slower person. So if the person who can cross in 1 minute and the person who crosses in 10 minutes walk together, they will take 10 minutes to cross the bridge. However when the 1 minute speed person is walking back, he will come back in1 minute
 
Can they escape from the claws (and teeth) of the Lion King or will someone get eaten up? Figure out a way in which all the 4 friends can cross the bridge and none of them get eaten up by the lion. Who should cross first, who should go back to get others and in what order.