Two runners start simultaneously at oppposite ends of a 200.0 m track and run toward each other. Runner A runs at a steady 8.0 m/s and runner B runs at a constant 7.0 m/s. When and where will these runners meet?

Question

How do I start this problem

Answer 1

When two runners run toward each other from a distance D, it is like one person running the same distance, but with the sum of the two speeds.
Give it a try and see what you get.

Answer 2

I would start by recognizing that the tme of each runner is the same.
distance = rate*time.
Distance A runs is X. Distance B runs is 200-x.
Set the times equal and solve for x.

Answer 3

Part A: Total meters/rate1+rate2 = seconds
Part B: Faster rate * seconds = distance traveled