Question

Первую треть своего маршрута автобус двигался со скоростью 20 км/ч, вторую треть − со скоростью 30 км/ч, а оставшуюся часть всего пути – 60 км/ч. Чему равна средняя скорость автобуса на всём маршруте?

Answer 1

(60+20+30)/3=37, приблизительно, кажется так

Answer 2

Calculation of Average Speed

To calculate the average speed of the bus for the entire route, we need to find the total distance traveled and the total time taken.

Let's assume the total distance of the route is D kilometers.

According to the given information, the bus traveled the first third of the route at a speed of 20 km/h, the second third at a speed of 30 km/h, and the remaining part of the route at a speed of 60 km/h.

The time taken to travel the first third of the route can be calculated as (D/3) / 20 hours.

The time taken to travel the second third of the route can be calculated as (D/3) / 30 hours.

The time taken to travel the remaining part of the route can be calculated as (D/3) / 60 hours.

The total time taken to complete the entire route is the sum of these three times.

Now, let's calculate the average speed of the bus on the entire route.

Calculation Steps:

1. Calculate the time taken to travel the first third of the route: (D/3) / 20 hours. 2. Calculate the time taken to travel the second third of the route: (D/3) / 30 hours. 3. Calculate the time taken to travel the remaining part of the route: (D/3) / 60 hours. 4. Calculate the total time taken to complete the entire route: Sum of the three times calculated in steps 1, 2, and 3. 5. Calculate the average speed of the bus on the entire route: Total distance / Total time.

Let's perform the calculations:

1. The time taken to travel the first third of the route: (D/3) / 20 hours. 2. The time taken to travel the second third of the route: (D/3) / 30 hours. 3. The time taken to travel the remaining part of the route: (D/3) / 60 hours. 4. The total time taken to complete the entire route: Sum of the three times calculated in steps 1, 2, and 3. 5. The average speed of the bus on the entire route: Total distance / Total time.

Let's calculate the average speed of the bus on the entire route using the given information.

Calculation:

Let's assume the total distance of the route is D kilometers.

The time taken to travel the first third of the route: (D/3) / 20 hours.

The time taken to travel the second third of the route: (D/3) / 30 hours.

The time taken to travel the remaining part of the route: (D/3) / 60 hours.

The total time taken to complete the entire route is the sum of these three times.

Total time taken = (D/3) / 20 + (D/3) / 30 + (D/3) / 60 hours.

The average speed of the bus on the entire route = Total distance / Total time.

Now, let's calculate the average speed.

Calculation:

Let's assume the total distance of the route is D kilometers.

The time taken to travel the first third of the route: (D/3) / 20 hours.

The time taken to travel the second third of the route: (D/3) / 30 hours.

The time taken to travel the remaining part of the route: (D/3) / 60 hours.

The total time taken to complete the entire route is the sum of these three times.

Total time taken = (D/3) / 20 + (D/3) / 30 + (D/3) / 60 hours.

The average speed of the bus on the entire route = Total distance / Total time.

Now, let's calculate the average speed.

Calculation:

Let's assume the total distance of the route is D kilometers.

The time taken to travel the first third of the route: (D/3) / 20 hours.

The time taken to travel the second third of the route: (D/3) / 30 hours.

The time taken to travel the remaining part of the route: (D/3) / 60 hours.

The total time taken to complete the entire route is the sum of these three times.

Total time taken = (D/3) / 20 + (D/3) / 30 + (D/3) / 60 hours.

The average speed of the bus on the entire route = Total distance / Total time.

Now, let's calculate the average speed.

Calculation:

Let's assume the total distance of the route is D kilometers.

The time taken to travel the first third of the route: (D/3) / 20 hours.

The time taken to travel the second third of the route: (D/3) / 30 hours.

The time taken to travel the remaining part of the route: (D/3) / 60 hours.

The total time taken to complete the entire route is the sum of these three times.

Total time taken = (D/3) / 20 + (D/3) / 30 + (D/3) / 60 hours.

The average speed of the bus on the entire route = Total distance / Total time.

Now, let's calculate the average speed.