Question

2. Із пункту А у пункт В, відстань між якими 150 км, виїхав велосипедист, а через 2 год з пункт В на зустріч йому виїхав мотоцикліст. Визначити час руху кожного з них до зустрічі, якщо швидкість велосипедиста була 25 км/год, а швидкість мотоцикліста - 70 км/год.

Answer 1

Объяснение:

1) 25 * 2 = 50 (км) - проехал велосипедист до того как выехал мотоциклист

2) 150 - 50 = 100 (км) - расстояние между велосипедистом и мотоциклистом на момент когда выехал мотоциклист

3) 25 + 70 = 95 (км/ч) - скорость сближения велосипедиста и мотоциклиста

4) 100 : 95 = 100/95 = 20/19 = 1 1/19 (часа) - они встретились, после того как выехал мотоциклист, это время и есть время в пути мотоциклиста

5) 2 + 1 1/9 = 3 1/9 (часа) - был в пути велосипедист

Answer 2

Problem Analysis

We are given that a cyclist starts from point A and travels towards point B, which is 150 km away. After 2 hours, a motorcyclist starts from point B and travels towards the cyclist. We need to determine the time it takes for each of them to meet, given that the cyclist's speed is 25 km/h and the motorcyclist's speed is 70 km/h.

Solution

Let's assume that the time it takes for the cyclist and the motorcyclist to meet is t hours.

The distance traveled by the cyclist in t hours can be calculated using the formula: distance = speed * time. Therefore, the distance traveled by the cyclist is 25t km.

Similarly, the distance traveled by the motorcyclist in t hours is 70t km.

Since the total distance between the two points is 150 km, we can write the equation: distance traveled by the cyclist + distance traveled by the motorcyclist = total distance.

Substituting the values, we get: 25t + 70t = 150.

Simplifying the equation, we have: 95t = 150.

Dividing both sides of the equation by 95, we find: t = 150/95.

Calculating the value, we get: t ≈ 1.579 hours.

Therefore, it takes approximately 1.579 hours for both the cyclist and the motorcyclist to meet.

Answer

The time it takes for the cyclist and the motorcyclist to meet is approximately 1.579 hours.

Please let me know if there is anything else I can help you with.