Question

первую часть своего пути поезд прошёл со скоростью 60 км\ ч .его средняя скорость на всем пути составила 40 км\ч.определите скорость поезда на оставшейся части пути

Answer 1

Calculation of the Train's Speed on the Remaining Part of the Journey

To determine the speed of the train on the remaining part of the journey, we need to use the formula:

Average Speed = Total Distance / Total Time

Let's assume that the total distance of the journey is D km and the time taken for the first part of the journey (at a speed of 60 km/h) is T1 hours. The remaining distance of the journey would then be D - 60T1 km.

The total time taken for the entire journey is given as T hours, and the average speed for the entire journey is given as 40 km/h.

Using the formula above, we can set up the following equation:

40 = D / T

Simplifying this equation, we get:

D = 40T

Substituting the value of D in terms of T into the equation for the remaining distance, we have:

Remaining Distance = D - 60T1 = 40T - 60T1

To find the speed of the train on the remaining part of the journey, we need to calculate the time taken for the remaining part of the journey, which can be expressed as:

Remaining Time = T - T1

Finally, we can calculate the speed of the train on the remaining part of the journey using the formula:

Remaining Speed = Remaining Distance / Remaining Time

Let's calculate the remaining speed using the given information.

Calculation:

Given: - Speed of the train for the first part of the journey: 60 km/h - Average speed for the entire journey: 40 km/h

We don't have specific values for the total distance or the total time, so we will use the variables D and T to represent them.

We also don't have the value of T1, so we cannot calculate the exact remaining speed without that information.

However, we can provide a general formula for the remaining speed in terms of T1:

Remaining Speed = (40T - 60T1) / (T - T1)

Please provide the value of T1 so that we can calculate the remaining speed accurately.