To find the average speed of a body that travels from point A to point B with a velocity of 10 m/s and then returns from point B to point A with a velocity of 20 m/s, we can use the formula:
Average speed = Total distance / Total time
However, since the distance and time are not provided in the question, let's assume a distance of d from A to B and the same distance d from B to A. We can calculate the average speed using this assumption.
Time taken to travel from A to B: Distance = d Velocity = 10 m/s Time = Distance / Velocity = d / 10
Time taken to travel from B to A: Distance = d Velocity = 20 m/s Time = Distance / Velocity = d / 20
Total time taken = Time from A to B + Time from B to A = d / 10 + d / 20 = (2d + d) / 20 = 3d / 20
Total distance traveled = Distance from A to B + Distance from B to A = d + d = 2d
Average speed = Total distance / Total time = 2d / (3d / 20) = 40/3 ≈ 13.33 m/s
Therefore, the average speed of the body is approximately 13.33 m/s.