Question

Автомобиль прошёл 1 четверть пути на молоцикле со скоростью 36 км\ч, затем проехал половину оставшегося пути на велосипеде со скоростью 6 м\с. Оставшийся путь он прошёл шёл пешком со скоростью 2 м\c. Определить среднюю скорость туриста.

Answer 1

V1 =36 км/ч = 10 м/с
v2 = 6 м/с
v3 = 2 м/с
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Vcp - ?
решение
S/Vcp = 1/4S / 10 + (3/4S)/2 / 6 +(3/4S)/2 / 2
4/Vcp = 1/10 + 1/4 +3/4 = 1/10 +1 =11/10
Vcp / 4 = 10 /11
Vcp = 40 /11 = 3,(63) м/с =  13 км /ч

Answer 2

Calculation of Average Speed

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

Let's break down the information given:

- The car traveled 1/4 of the total distance on a motorcycle at a speed of 36 km/h. - Then, the car traveled 1/2 of the remaining distance on a bicycle at a speed of 6 m/s. - Finally, the car traveled the remaining distance on foot at a speed of 2 m/s.

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

Calculation of Total Distance

Let's assume the total distance traveled by the car is d.

- The car traveled 1/4 of the total distance on a motorcycle, which is equal to d/4. - The car then traveled 1/2 of the remaining distance on a bicycle, which is equal to (3d/4)/2 or 3d/8. - Finally, the car traveled the remaining distance on foot, which is equal to (3d/4) - (3d/8) or 3d/8.

Adding up these distances, we get:

d/4 + 3d/8 + 3d/8 = d

So, the total distance traveled by the car is d.

Calculation of Total Time

To calculate the total time taken, we need to find the time taken for each segment of the journey.

- The car traveled 1/4 of the total distance on a motorcycle at a speed of 36 km/h. The time taken for this segment is (d/4) / 36 hours. - The car then traveled 1/2 of the remaining distance on a bicycle at a speed of 6 m/s. The time taken for this segment is (3d/8) / 6 seconds. - Finally, the car traveled the remaining distance on foot at a speed of 2 m/s. The time taken for this segment is (3d/8) / 2 seconds.

Converting the time taken for each segment to a common unit (seconds), we get:

[(d/4) / 36] \* 3600 seconds = (d/4) \* 100 seconds

[(3d/8) / 6] \* 1 second = (d/8) \* 1 second

[(3d/8) / 2] \* 1 second = (3d/16) \* 1 second

Adding up these times, we get:

(d/4) \* 100 + (d/8) + (3d/16) = (25d + 2d + 3d) / 16 = 30d / 16 = 15d / 8 seconds

Calculation of Average Speed

To calculate the average speed, we divide the total distance by the total time:

Average Speed = Total Distance / Total Time

Substituting the values we calculated earlier:

Average Speed = d / (15d / 8) = 8d / 15d = 8 / 15

Therefore, the average speed of the tourist is 8/15.

Note: The units for the average speed will depend on the units used for the total distance and total time. In this case, the units were not specified, so the average speed is given as a ratio.