SOLUTION: After robbing a bank in Dodge City, a robber gallops off at 14 mi/h. 20 minutes later, the marshall leaves to pursue the robber at 15 mi/h. How long (in hours) does it take the mar

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: After robbing a bank in Dodge City, a robber gallops off at 14 mi/h. 20 minutes later, the marshall leaves to pursue the robber at 15 mi/h. How long (in hours) does it take the mar      Log On

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Question 892116: After robbing a bank in Dodge City, a robber gallops off at 14 mi/h. 20 minutes later, the marshall leaves to pursue the robber at 15 mi/h. How long (in hours) does it take the marshall to catch up to the robber?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = # of hours it takes for the marshall to catch up with the robber.
Then x + 1/3 = # of hours the robber has been on the run before he is caught.
==> 14%28x%2B1%2F3%29+=+15x
==> 14x+%2B+14%2F3+=+15x
==> x+=+14%2F3 hours, or after 4 hours and 40 minutes.