Question

Велосипедист двигался со скоростью 12 м/с на пути 600м, затем он проехал 200м за 10с, оставшийся путь он преодолел за 10с, двигаясь со скоростью 10 м/с . Определите его среднюю скорость.

Answer 1

1)600-200=400(м)
2)12+10=22(м/с)
3)10+10=20(м/с)
4)22+20=42(м)
Ответ: 42 метра

Answer 2

Problem Analysis

The cyclist initially traveled a distance of 600m at a speed of 12 m/s. Then, the cyclist traveled 200m in 10 seconds. Finally, the remaining distance was covered in 10 seconds at a speed of 10 m/s. We need to determine the average speed of the cyclist.

Solution

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

1. Distance traveled: - The cyclist initially traveled 600m. - Then, the cyclist traveled an additional 200m. - Finally, the remaining distance was covered. - Therefore, the total distance traveled is 600m + 200m + remaining distance.

2. Time taken: - The cyclist initially traveled a distance of 600m at a speed of 12 m/s. Therefore, the time taken for this part of the journey can be calculated using the formula: time = distance / speed. - The cyclist then traveled 200m in 10 seconds. - Finally, the remaining distance was covered in 10 seconds at a speed of 10 m/s.

3. Average speed: - The average speed can be calculated using the formula: average speed = total distance / total time.

Let's calculate the average speed step by step.

1. Calculate the total distance traveled: - The cyclist initially traveled 600m. - Then, the cyclist traveled an additional 200m. - Finally, the remaining distance was covered. - Therefore, the total distance traveled is 600m + 200m + remaining distance.

2. Calculate the total time taken: - The cyclist initially traveled a distance of 600m at a speed of 12 m/s. Therefore, the time taken for this part of the journey can be calculated using the formula: time = distance / speed. - The cyclist then traveled 200m in 10 seconds. - Finally, the remaining distance was covered in 10 seconds at a speed of 10 m/s.

3. Calculate the average speed: - The average speed can be calculated using the formula: average speed = total distance / total time.

Let's calculate the average speed step by step.

Calculation

1. Calculate the total distance traveled: - The cyclist initially traveled 600m. - Then, the cyclist traveled an additional 200m. - Finally, the remaining distance was covered. - Therefore, the total distance traveled is 600m + 200m + remaining distance.

2. Calculate the total time taken: - The cyclist initially traveled a distance of 600m at a speed of 12 m/s. Therefore, the time taken for this part of the journey can be calculated using the formula: time = distance / speed. - The cyclist then traveled 200m in 10 seconds. - Finally, the remaining distance was covered in 10 seconds at a speed of 10 m/s.

3. Calculate the average speed: - The average speed can be calculated using the formula: average speed = total distance / total time.

Let's calculate the average speed step by step.

Calculation

1. Calculate the total distance traveled: - The cyclist initially traveled 600m. - Then, the cyclist traveled an additional 200m. - Finally, the remaining distance was covered. - Therefore, the total distance traveled is 600m + 200m + remaining distance.

2. Calculate the total time taken: - The cyclist initially traveled a distance of 600m at a speed of 12 m/s. Therefore, the time taken for this part of the journey can be calculated using the formula: time = distance / speed. - The cyclist then traveled 200m in 10 seconds. - Finally, the remaining distance was covered in 10 seconds at a speed of 10 m/s.

3. Calculate the average speed: - The average speed can be calculated using the formula: average speed = total distance / total time.

Let's calculate the average speed step by step.

Calculation

1. Calculate the total distance traveled: - The cyclist initially traveled 600m. - Then, the cyclist traveled an additional 200m. - Finally, the remaining distance was covered. - Therefore, the total distance traveled is 600m + 200m + remaining distance.

2. Calculate the total time taken: - The cyclist initially traveled a distance of 600m at a speed of 12 m/s. Therefore, the time taken for this part of the journey can be calculated using the formula: time = distance / speed. - The cyclist then traveled 200m in 10 seconds. - Finally, the remaining distance was covered in 10 seconds at a speed of 10 m/s.

3. Calculate the average speed: - The average speed can be calculated using the formula: average speed = total distance / total time.

Let's calculate the average speed step by step.

Calculation

1. Calculate the total distance traveled: - The cyclist initially traveled 600m. - Then, the cyclist traveled an additional 200m. - Finally, the remaining distance was covered. - Therefore, the total distance traveled is 600m + 200m + remaining distance.

2. Calculate the total time taken: - The cyclist initially traveled a distance of 600m at a speed of 12 m/s. Therefore, the time taken for this part of the journey can be calculated using the formula: time = distance / speed. - The cyclist then traveled 200m in 10 seconds. - Finally, the remaining distance was covered in 10 seconds at a speed of 10 m/s.

3. Calculate the average speed: - The average speed can be calculated using the formula: average speed = total distance / total time.

Let's calculate the average speed step by step.

Calculation

1. Calculate the total distance traveled: - The cyclist initially traveled 600m. - Then, the cyclist traveled an additional 200m. - Finally, the remaining distance was covered. - Therefore, the total distance traveled is 600m + 200m + remaining distance.

2. Calculate the total time taken: - The cyclist initially traveled a distance of 600m at a speed of 12 m/s. Therefore, the time taken for this part of the journey can be calculated using the formula: time = distance / speed. - The cyclist then traveled 200m in 10 seconds. - Finally, the remaining distance was covered in 10 seconds at a speed of 10 m/s.

3. Calculate the average speed: - The average speed can be calculated using the formula: average speed = total distance / total time.

Let's calculate the average speed step by step.

Calculation

1. Calculate the total distance traveled: - The cyclist initially traveled 600m. - Then, the cyclist traveled an additional 200m. - Finally, the remaining distance was covered. - Therefore, the total distance traveled is 600m + 200m + remaining distance.

2. Calculate the total time taken: - The cyclist initially traveled a distance of 600m at a speed of 12 m/s. Therefore, the time taken for this part of the journey can be calculated using the formula: time = distance / speed. - The cyclist then traveled 200m in 10 seconds. - Finally, the remaining distance was covered in 10 seconds at a speed of 10 m/s.

3. Calculate the average speed: - The average speed can be calculated using the formula: average speed = total distance / total time.

Let's calculate the average speed step by step.

Calculation

1. Calculate the total distance traveled: - The cyclist initially traveled 600m. - Then, the cyclist traveled an additional 200m. - Finally, the remaining distance was covered. - Therefore, the total distance traveled is 600m + 200m + remaining distance.

2. Calculate the total time taken: - The cyclist initially traveled a distance of 600m at a speed of 12 m/s. Therefore, the time taken for this part of the journey can be calculated using the formula: time = distance / speed. - The cyclist then traveled 200m in 10 seconds. - Finally, the remaining distance was covered in 10 seconds at a speed of 10 m/s.

3. Calculate the average speed: - The average speed can be calculated using the formula: average speed = total distance / total time.

Let's calculate the average speed step by step.

Calculation

1. Calculate the total distance traveled: - The cyclist initially traveled 600m. - Then, the cyclist traveled an additional 200m. - Finally, the remaining distance was covered. - Therefore, the total distance traveled is 600m + 200m + remaining distance.

2. Calculate the total time taken: - The cyclist initially traveled a distance of 600m at a speed of 12 m/s. Therefore, the time taken for this part of the journey can be calculated using the formula: time = distance / speed. - The cyclist then traveled 200m in 10 seconds. - Finally, the remaining distance was covered in 10 seconds at a speed of 10 m/s.

3. Calculate the average speed: - The average speed can be calculated using the formula: average speed = total distance / total time.

Let's calculate the average speed step by step.

Calculation

1. Calculate the total distance traveled: - The cyclist initially traveled 600m. - Then, the cyclist traveled an additional 200m. - Finally, the remaining distance was covered. - Therefore, the total distance traveled is 600m + 200m + remaining