The tram passed the first 200m at a speed of 4m / s, and the next 400m in 30s.

The tram passed the first 200m at a speed of 4m / s, and the next 400m in 30s. Determine the average speed of the tram along the way.

Given:

S1 = 200 meters – the length of the first section of the track;

v1 = 4 m / s – tram speed on the first section of the track;

S2 = 400 meters – the length of the second section of the track;

t2 = 30 seconds – the time during which the tram passed the second section of the track.

It is required to find v3 (m / s) – the average speed of the tram along the entire route.

To find the average speed, you need to divide the entire distance traveled by the time it took this route:

v3 = S / t = (S1 + S2) / (t1 + t2) = (S1 + S2) / (S1 / v1 + t2) =

= (200 + 400) / (200/4 + 30) = 600 / (50 + 30) = 600/80 = 7.5 m / s.

Answer: the average speed of the tram along the entire route is 7.5 m / s.