Bob runs .1 miles per minute because 6 / 60 = <<6/60=.1>>.1

Jim run at .15 miles per minute 9 / 60 = <<9/60=.15>>.15

We know that .1(Number of Minutes) + 1 = .15(Number of Minutes)

Therefore 1 = .05(Number of minutes)

Therefore (Number of minutes) = 20 because 1 / .05 = <<1/.05=20>>20

# Answer

20
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Bob runs 6 miles per hour. His friend Jim runs at 9 miles per hour. If Bob has a 1 mile head-start, how many minutes will it take before Jim catches him?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
20
Bob runs 6 miles per hour. His friend Jim runs at 9 miles per hour. If Bob has a 1 mile head-start, how many minutes will it take before Jim catches him?
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