The pedestrian covered the first part of the route 5.0 km in 1.0 h. The second part of the route was 10 km

The pedestrian covered the first part of the route 5.0 km in 1.0 h. The second part of the route was 10 km. The average ground speed along the entire route is 4.5 km / h. Determine the travel time for the second leg

Average pedestrian speed:

Vav. = S / t, where Vav. Is the average speed of movement (Vav. = 4.5 km / h), S is the total distance traveled (S = S1 + S2, where S1 = 5 km, S2 = 10 km), t is the total time of movement (t = t1 + t2, where t1 = 1 h).

Let’s calculate the time for passing the second section of the path:

Vav. = (S1 + S2) / (t1 + t2).

t1 + t2 = (S1 + S2) / Vav.

t2 = (S1 + S2) / Vav. – t1 = (5 + 10) / 4.5 – 1 = 3.33 – 1 = 2.33 h.

Answer: The pedestrian covered the second section of the path in 2.33 hours.