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On a certain train...

 
Tue Nov 30, 2010 7:27 am  by tartle

On a certain train, the crew consists of the brakeman, the fireman, and the engineer. Their names listed alphabetically are Jones, Robinson and Smith. On the train are also three passengers with corresponding names, Mr. Jones, Mr. Robinson, and Mr. Smith. The following facts are known:
a. Mr. Robinison lives in Detroit
b. The brakeman lives exactly halfway between Detroit and Chicago
c. Mr. Jones earns exactly $20,000 a year
d. Smith oncea beat the fireman at the billiards
e. The brakeman s next door neighbor, one of the three passengers mentioned, earns exactly three times as much as the brakeman
f. The passenger living in Chicago has the same name as the brakeman.

What is the engineer s name?
 
   
Mon Dec 20, 2010 2:07 am  by Lulu14

Smith
 
   
Sun Apr 17, 2011 10:45 pm  by gussy05

Jones
 
   
Mon May 30, 2016 6:25 pm  by ratmkino

Has to be Smith if we say that Mr. Jones can't be the brakeman's neighbor because 20,000 is not divisible by 3
 
   
Fri Nov 25, 2016 9:54 am  by polarsystem

a. Mr. Robinson lives in Detroit
b. The brakeman lives exactly halfway between Detroit and Chicago
c. Mr. Jones earns exactly $20,000 a year
d. Smith once beat the fireman at the billiards
e. The brakeman s next door neighbor, one of the three passengers mentioned, earns exactly three times as much as the brakeman
f. The passenger living in Chicago has the same name as the brakeman.

From a. and b.
=> Mr. Robinson is not the brakeman's next door neighbor (1)
20,000 is not divisible by 3
=> Mr. Jones is not the brakeman's next door neighbor (2)
From (1) and (2)
=> Mr. Smith is brakeman's next door neighbor (3)
From a. and (3)
=> Mr. Jones lives in Chicago (4)
From f. and (4)
=> The brakeman's name is Jones (5)
From d.
=> The fireman's name is not Smith (6)
From (5) and (6)
=> The fireman's name is Robinson (7)
From (5) and (7)
[b]=> The engineer's name is Smith[/b]
 
   
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