Question

Where do the two runners meet on a rectilinear athletics track, 50 meters long, with the first runner starting from one end at a speed of v1 = 6 m/s and the second runner starting from the other end at a speed of v2 = 4 m/s?

Answer 1

The two runners will meet at the midpoint of the 50-meter track, with Runner A taking approximately 4.17 seconds to reach the midpoint and Runner B taking approximately 6.25 seconds.

Step-by-step explanation:

The two runners will meet at the midpoint of the track. Since the track is 50 meters long, the midpoint is at 25 meters. Runner A is starting from one end with a speed of 6 m/s, so it will take him (25 meters) / (6 m/s) = 4.17 seconds to reach the midpoint.

Similarly, Runner B is starting from the other end with a speed of 4 m/s, so it will take him (25 meters) / (4 m/s) = 6.25 seconds to reach the midpoint.

Therefore, the two runners will meet at the midpoint of the track, 25 meters from both ends, at approximately 4.17 seconds after Runner A starts and 6.25 seconds after Runner B starts.