SOLUTION: After robbing a bank in Dodge City, a robber gallops off at 14 mi/h. 10 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. 10 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 667729: After robbing a bank in Dodge City, a robber gallops off at 14 mi/h. 10 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 mananth(16946) (Show Source):
You can put this solution on YOUR website! In such problems you have to find the catchup distance and the catch up speed
Robber speed = 14 mph
he has a lead time of 10 minutes. = 1/6 hour.
when Marshall starts the robber is 1/6 * 14 = 14/6-> 7/3 miles away
Marshall speed = 15 mph
catchup speed = 15-14 = 1mph
time = d/r
t= (7/3) / 1
so Marshall will take 7/3 hours to catch him
= 2 hours and 20 minutes
