SOLUTION: After robbing a bank in Dodge City, a robber gallops off at 14 mi/h. 30 minutes later, the marshall leaves to pursue the robber at 15 mi/h. How long (in hours) does it take the mar
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-> SOLUTION: After robbing a bank in Dodge City, a robber gallops off at 14 mi/h. 30 minutes later, the marshall leaves to pursue the robber at 15 mi/h. How long (in hours) does it take the mar
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Question 667138: After robbing a bank in Dodge City, a robber gallops off at 14 mi/h. 30 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 josmiceli(19441) (Show Source):
You can put this solution on YOUR website! The robber's head start is miles
Start a stop watch when the marshall leaves town
Now they both ride for the same amount of time
until marshall catches him
Let = distance marshall has to ride to catch him
robber's equation:
(1)
marshall's equation:
(2)
------------------------
(1)
By substitution:
It takes the marshall 7 hrs to catch robber
check:
(2)
(2) mi
and
(1)
(1)
(1) mi
OK
