Question

Ребята,поможете решить задачку?!(Пожалуйста!) ------------------------------------------------------ Из двух городов навстречу друг другу одновременно выехали велосипедист и мотоциклист.Скорость велосипедиста 18 км/ч,что состовляет 6/19 скорости мотоциклиста.Найдите расстояние между городами,если мотоциклист и велосипедист встретились через 3 4/5ч после выезда?

Answer 1

1) 18:6*19=57(км/ч) - Скорость мотоциклиста
2) 57+18=75(км/ч) - Скорость сближения
3) 3 4/5=3.8(ч) - Время
4) 75*3.8=285(км)
Ответ: Расстояние между городами равно 285 км.

Answer 2

Problem Analysis

To solve this problem, we need to find the distance between the two cities given the speeds of a cyclist and a motorcyclist and the time it takes for them to meet.

Given Information

- Speed of the cyclist: 18 km/h - Speed of the motorcyclist: 6/19 times the speed of the cyclist - Time taken for them to meet: 3 4/5 hours

Solution

Let's start by finding the speed of the motorcyclist. We know that the speed of the motorcyclist is 6/19 times the speed of the cyclist. So, we can calculate the speed of the motorcyclist as follows:

Speed of the motorcyclist = (6/19) * (Speed of the cyclist)

Next, we can calculate the distance traveled by the cyclist and the motorcyclist separately. Since they are traveling towards each other, the sum of their distances will give us the total distance between the two cities.

Distance traveled by the cyclist = Speed of the cyclist * Time taken

Distance traveled by the motorcyclist = Speed of the motorcyclist * Time taken

Finally, we can find the total distance between the two cities by adding the distances traveled by the cyclist and the motorcyclist.

Total distance between the two cities = Distance traveled by the cyclist + Distance traveled by the motorcyclist

Let's calculate the solution step by step.

Solution Steps

1. Calculate the speed of the motorcyclist: - Speed of the motorcyclist = (6/19) * (18 km/h)

2. Calculate the distance traveled by the cyclist: - Distance traveled by the cyclist = Speed of the cyclist * Time taken

3. Calculate the distance traveled by the motorcyclist: - Distance traveled by the motorcyclist = Speed of the motorcyclist * Time taken

4. Calculate the total distance between the two cities: - Total distance between the two cities = Distance traveled by the cyclist + Distance traveled by the motorcyclist

Let's calculate the solution using the given values.

Calculation

1. Calculate the speed of the motorcyclist: - Speed of the motorcyclist = (6/19) * (18 km/h) = 5.684 km/h

2. Calculate the distance traveled by the cyclist: - Distance traveled by the cyclist = 18 km/h * 3 4/5 hours = 68 km

3. Calculate the distance traveled by the motorcyclist: - Distance traveled by the motorcyclist = 5.684 km/h * 3 4/5 hours = 21.368 km

4. Calculate the total distance between the two cities: - Total distance between the two cities = 68 km + 21.368 km = 89.368 km

Answer

The distance between the two cities is approximately 89.368 km.

I hope this helps! Let me know if you have any further questions.