Question

6) Мотоциклист по проселочной дороге ехал 2 часа со скорость 25 км/час, по шоссе ехал 3 часа со скоростью 65 км/час, и один час ехал по городу, где двигаться на мотоцикле разрешено со скоростью 55 км/час. Найди среднюю скорость мотоциклиста за время в пути. Помогите пожалуйста

Answer 1

Ответ:

50 км/ч

Объяснение:

S - расстояние (км)

V - скорость (км/ч)

T - время (ч)

v₁=25 км/ч

t₁= 2 ч

v₂=65 км/ч

t₂=3 ч

v₃=55 км/ч

t₃=1 ч

S=v*t

s₁=25*2=50 км

s₂=65*3=195 км

s₃=55*1=55 км

S (общее расстояние)=s₁+s₂+s₃=50+195+55=300 км

T (все время в пути) =t₁+t₂+t₃=2+3+1=6 ч

V (средняя скорость)=S/T км/ч

V средняя скорость)=300/6=50 км

Answer 2

Calculation of Average Speed

To find the average speed of the motorcyclist during the entire journey, we need to calculate the total distance traveled and the total time taken.

Let's break down the journey into three parts:

1. Traveling on the dirt road for 2 hours at a speed of 25 km/h. 2. Traveling on the highway for 3 hours at a speed of 65 km/h. 3. Traveling in the city for 1 hour at a speed of 55 km/h.

# Part 1: Traveling on the Dirt Road

The distance covered on the dirt road can be calculated by multiplying the speed by the time: Distance on dirt road = 25 km/h * 2 hours = 50 km

# Part 2: Traveling on the Highway

The distance covered on the highway can be calculated by multiplying the speed by the time: Distance on highway = 65 km/h * 3 hours = 195 km

# Part 3: Traveling in the City

The distance covered in the city can be calculated by multiplying the speed by the time: Distance in city = 55 km/h * 1 hour = 55 km

Now, let's calculate the total distance and total time:

Total distance = Distance on dirt road + Distance on highway + Distance in city = 50 km + 195 km + 55 km = 300 km

Total time = Time on dirt road + Time on highway + Time in city = 2 hours + 3 hours + 1 hour = 6 hours

Finally, we can calculate the average speed by dividing the total distance by the total time:

Average speed = Total distance / Total time = 300 km / 6 hours = 50 km/h

Therefore, the average speed of the motorcyclist during the entire journey is 50 km/h.