Question

С двух населённых пунктов, расстояние меду которыми 64 км, одновременно выехали навстречу друг другу мотоцикл и велосипед и встретились через 1,6 часов. найдите скорость мотоцикла, если велосипедистехал со скоростью втрое меньше от скорости мотоциклиста?

Answer 1

1,6(х+3х)=64

4х=64/1,6

4х=40

х=10км/ч - велосипед

3*10=30км/ч - мотоцикл

Answer 2

пусть скорость велосипедиста х километров в час, тогда скорость мотоциклиста 3х километров в час. так ка по условию задачи расстояние между населенными пунктами =64 км, составим уравнение

1)1,6*х + 3х*1.6=64

4х*1.6=64

4х=64:1.6

4х=40

х=10- скорость велосипедиста

2)10*3=30 км- скорость мотоциклиста

ответ 30 км\ч

 

Answer 3

Problem Analysis

We are given that a motorcycle and a bicycle start simultaneously from two different towns and meet each other after 1.6 hours. The distance between the towns is 64 km. We need to find the speed of the motorcycle, given that the bicycle's speed is one-third of the motorcycle's speed.

Solution

Let's assume the speed of the motorcycle is x km/h. Since the bicycle's speed is one-third of the motorcycle's speed, the bicycle's speed is (1/3)x km/h.

We can use the formula speed = distance / time to find the speeds of the motorcycle and the bicycle.

The time taken by both the motorcycle and the bicycle to meet each other is 1.6 hours.

The distance traveled by the motorcycle is the sum of the distances traveled by the motorcycle and the bicycle, which is equal to the total distance between the towns (64 km).

Using the formula, we can set up the following equation:

x km/h * 1.6 hours + (1/3)x km/h * 1.6 hours = 64 km

Simplifying the equation:

1.6x + (1/3)x = 64

Combining like terms:

1.6x + 0.533x = 64

Simplifying further:

2.133x = 64

Dividing both sides by 2.133:

x = 64 / 2.133

Evaluating the expression:

x ≈ 30 km/h

Therefore, the speed of the motorcycle is approximately 30 km/h.

Answer

The speed of the motorcycle is approximately 30 km/h.

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