Since someone running twice as fast a mile as another person would mean they complete the mile in half as much time, this means Tony would run a mile in 6/2= <<6/2=3>>3 minutes since Tina's time was 6 minutes.

Since Tom is three times as fast as Tina, for the same reasons as above this means his time is 6/3= <<6/3=2>>2 minutes.

Altogether then, the total time for all three is then 6+3+2= <<6+3+2=11>>11 minutes.

# Answer

11
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Tony can run a mile twice as fast as Tina, who with a time of 6 minutes is one-third as fast a runner as Tom.  What are all three of their mile times when added together?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
11
Tony can run a mile twice as fast as Tina, who with a time of 6 minutes is one-third as fast a runner as Tom.  What are all three of their mile times when added together?
train