SOLUTION: pt) After robbing a bank in Dodge City, a robber gallops off at 13 mi/h. 20 minutes later, the marshall leaves to pursue the robber at 16 mi/h. How long (in hours) does it take th
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-> SOLUTION: pt) After robbing a bank in Dodge City, a robber gallops off at 13 mi/h. 20 minutes later, the marshall leaves to pursue the robber at 16 mi/h. How long (in hours) does it take th
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Question 812408: pt) After robbing a bank in Dodge City, a robber gallops off at 13 mi/h. 20 minutes later, the marshall leaves to pursue the robber at 16 mi/h. How long (in hours) does it take the marshall to catch up to the robber? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! What is the robber's head start? ( converting 20 min to hrs )
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Start a stopwatch when the marshall leaves
Let = time on stopwatch when marshall
catches robber
Let = distance from Dodge City that
marshall catches robber
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robber's equation:
(1)
marshall's equation:
(2)
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(1)
(1)
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By substitution:
(1)
(1)
(1)
(1)
(1) hrs
(1) min
The marshall catches the robber in 1 hr and 27 min