Problema Solution
After robbing a bank in Dodge City, a robber gallops off at 12 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 provided by our tutors
If the robber travels at 12mi/hr and traveled a good 20minutes before the police officer pursued him at a rate of 16mi/hr. That means the robber had a head start of 4miles. Set the two equations equal to each other and solve for x. You get 12x+4 = 16x -> 4 = 4x -> x = 1. In 1 hour the police officer will have caught the robber.