Calculating Distance of Two Runners' Paths | Runner A vs Runner B

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To determine when Runner A and Runner B's paths cross, their positions relative to the flagpole must be expressed as equations based on time. Runner A, starting 3.6 km west at a speed of 2.6 km/h, and Runner B, starting 4.0 km east at 5.2 km/h, can be represented mathematically to find the point of intersection. By setting their distance equations equal to each other, the crossing point can be calculated. The total distance each runner has covered by the time their paths intersect can also be derived from these equations. Understanding the setup and solving for time will reveal the distances from the flagpole when they meet.
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I have another question that is pestering me. Runner A is 3.6 km west of a flagpole and is running w/ constant V of 2.6 km/h while Runner B is 4.0 km east of the flagpole and is running w/ constant V of 5.2 km/ hour west. What will the distance be of the two runners from the flagpole when their paths cross?

I do not understand how you determine when their paths cross. I understand that you have to set their equations equal, but I do not understand what those equations would even be.. :confused: Thanks a million for you help.
 
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What direction ss Runner A running in?
 
AladdinSane said:
I have another question that is pestering me. Runner A is 3.6 km west of a flagpole and is running w/ constant V of 2.6 km/h while Runner B is 4.0 km east of the flagpole and is running w/ constant V of 5.2 km/ hour west. What will the distance be of the two runners from the flagpole when their paths cross?

I do not understand how you determine when their paths cross. I understand that you have to set their equations equal, but I do not understand what those equations would even be.. :confused: Thanks a million for you help.

Assume their paths have crossed. How much (in km) did they both run? (Hint: assume one 'runner' was standing (:biggrin:), and the other was running towards him, in order to get their paths crossed. What was the total distance he ran?)
 

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