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

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 )

------------------
Start a stopwatch when the marshall leaves
Let = time on stopwatch when marshall
catches robber
Let = distance from Dodge City that
marshall catches robber
------------------
robber's equation:
(1)
marshall's equation:
(2)
--------------
(1)
(1)
---------------------
By substitution:
(1)
(1)
(1)
(1)
(1) hrs
(1) min
The marshall catches the robber in 1 hr and 27 min

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