Question

Из одного города в другой выехал поезд. первую половину расстояния он проехал за 2,4 ч со скоростью 72,75 км/ч, а вторую половину - за 3,6 ч. найдите среднюю скорость

Answer 1

1)72,75*2,4=174,6(км)1 половина                                                                               2)174,6 : 3,6=48,5(км/ч)скорость на 2 половине                                                          3) (72,75 + 48,5) : 2 = 60,625(км/ч) средняя скорость

Answer 2

Calculation of Average Speed

To find the average speed of the train, we need to calculate the total distance traveled and the total time taken.

Let's assume the total distance traveled by the train is D.

According to the given information, the train traveled the first half of the distance in 2.4 hours at a speed of 72.75 km/h, and the second half of the distance in 3.6 hours.

The time taken to travel the first half of the distance is 2.4 hours, and the time taken to travel the second half of the distance is 3.6 hours.

We can calculate the distance of each half of the journey using the formula:

Distance = Speed × Time

For the first half of the journey: Distance of the first half = 72.75 km/h × 2.4 hours

For the second half of the journey: Distance of the second half = 72.75 km/h × 3.6 hours

The total distance traveled is the sum of the distances of the two halves:

Total distance = Distance of the first half + Distance of the second half

Now, we can calculate the average speed using the formula:

Average Speed = Total Distance / Total Time

Let's calculate the average speed step by step.

Calculation Steps:

1. Calculate the distance of the first half of the journey: - Distance of the first half = 72.75 km/h × 2.4 hours

2. Calculate the distance of the second half of the journey: - Distance of the second half = 72.75 km/h × 3.6 hours

3. Calculate the total distance traveled: - Total distance = Distance of the first half + Distance of the second half

4. Calculate the total time taken: - Total time = Time taken for the first half + Time taken for the second half

5. Calculate the average speed: - Average Speed = Total Distance / Total Time

Let's perform the calculations.

Calculation:

1. Calculate the distance of the first half of the journey: - Distance of the first half = 72.75 km/h × 2.4 hours = 174.6 km

2. Calculate the distance of the second half of the journey: - Distance of the second half = 72.75 km/h × 3.6 hours = 261.9 km

3. Calculate the total distance traveled: - Total distance = Distance of the first half + Distance of the second half = 174.6 km + 261.9 km = 436.5 km

4. Calculate the total time taken: - Total time = Time taken for the first half + Time taken for the second half = 2.4 hours + 3.6 hours = 6 hours

5. Calculate the average speed: - Average Speed = Total Distance / Total Time = 436.5 km / 6 hours = 72.75 km/h

Therefore, the average speed of the train for the entire journey is 72.75 km/h.

Please note that the calculations are based on the given information and assumptions made.