SOLUTION: After robbing a bank in Dodge City, a robber gallops off at 12 mi/h. 10 minutes later, the marshall leaves to pursue the robber at 16 mi/h. How long (in hours) does it take the mar

Question 763744: After robbing a bank in Dodge City, a robber gallops off at 12 mi/h. 10 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!
Convert min to hours
hrs
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What is the robbers head start in miles?

mi
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Start a stopwatch when the marshall leaves
Let = time on stopwatch when he catches robber
Let = distance in miles that Marshall has to go
until he catches robber
---------------
Robber's equation:
(1)
Marshall's equation:
(2)
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Substitute (2) into (1)
(1)
(1)
(1)
the marshall catches robber in a half-hour
check:
(2)
(2)
(2)
and
(1)
(1)
(1)
OK

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