SOLUTION: After robbing a bank in Dodge City, a robber gallops off at 13 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

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: After robbing a bank in Dodge City, a robber gallops off at 13 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      Log On


   



Question 337561: After robbing a bank in Dodge City, a robber gallops off at 13 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 Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
In the 1%2F2 hour the robber has a 6.5 mile head start.
Start the clock when the marshal leaves town.
For the robber, the distance from town is,
Dr=13%2At%2B6.5
For the marshal,
Dm=15%2At
Find t when Dr=Dm,
13t%2B6.5=15t
2t=6.5
t=3.25 hrs