Calculating Distance: Solving a Velocity Problem with Runners A and B

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To solve the problem, determine the time it takes for Runners A and B to meet by setting their distances equal. Runner A starts 4 miles west and runs east at 6 mph, while Runner B starts 3 miles east and runs west at 5 mph. The equation to find the meeting point involves calculating the distance each runner covers over time until they meet. By using their velocities and initial positions, the time can be calculated, leading to the distance from the flagpole when they meet. This approach will clarify how to find the solution effectively.
kfink85
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I just transferred to UMD and want to do well in this course because I need a C or better to get into my major (Psychology). So any help on the problem would be much appreciated. I got through most of them fine except this one. I am stumped. :-p

1. Runner A is initially 4.0 mi west of a flagpole and is running with a constant velocity of 6.0 mi/h due east. Runner B is initially 3.0 mi east of the flagpole and is running wtih a constant velocity of 5.0 mi/h due west. How far are the runners from the flagpole when they meet?

Thanks in advance to anyone that can offer any explanations or answers.
 
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HINT: How much time does it take for the runners to meet?
 

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