Question

Помогите пожалуйста решить задачу. Из села в город, расстояние между которыми 266 км, выехал мотоциклист со скоростью 74 км/час. спустя 1 час навстречу ему из города в село выехал велосипедист со скоростью 22 км/час.Через сколько времени после выезда велосипедиста они встретятся

Answer 1

74×1=74(км)-проехал мот-т за 1ч;
266-74=192(км)-оставшееся расстояние до встречи;
74+22=96(км/ч)-скорость сближения;
192÷96=2(ч)-через это время после выезда вел-та они встретятся

Answer 2

Problem Analysis

To solve this problem, we need to determine the time it takes for the motorcyclist and the cyclist to meet. The motorcyclist starts from the village and travels towards the city at a speed of 74 km/h, while the cyclist starts from the city and travels towards the village at a speed of 22 km/h. We need to find the time it takes for them to meet.

Solution

Let's assume that the time it takes for them to meet is t hours. During this time, the motorcyclist will cover a distance of 74t km, and the cyclist will cover a distance of 22t km. Since they are traveling towards each other, the sum of their distances should be equal to the total distance between the village and the city, which is 266 km.

So, we can set up the following equation:

74t + 22t = 266

Simplifying the equation:

96t = 266

Now, we can solve for t by dividing both sides of the equation by 96:

t = 266 / 96

Calculating the value of t:

t ≈ 2.77 hours

Therefore, it will take approximately 2.77 hours for the motorcyclist and the cyclist to meet.

Answer

After approximately 2.77 hours from the departure of the cyclist, they will meet.