Question

Составьте 3 задачи с данными :из двух городов навстречу один другому вышли 2 поезда ;расстояние между городами 1200 км;первый поезд проходит это расстояние за 20 часов;второй поезд проходит расстояние между городами за 12 часов;скорость 1 поезда 60 км/ч;скорость 2 поезда 100 км/ч;скорость 1 поезда на 40 км /ч меньше, чем скорость второго.

Answer 1

1)1200:20=60(км/ч) V 1 поезда 
2)1200:30=40(км/ч) V 2 поезда 
3)1200:(40+60)=12(ч) встретятся поезда 
Ответ: 12 часов.

Answer 2

Task 1: Find the Meeting Point

To find the meeting point of the two trains, we can use the concept of relative speed. The relative speed of two objects moving in opposite directions is the sum of their individual speeds. We can use this to calculate the time it takes for the two trains to meet.

First, let's calculate the relative speed of the two trains: - Speed of the first train (v1) = 60 km/h - Speed of the second train (v2) = 100 km/h - Relative speed (v_rel) = v1 + v2

The relative speed of the two trains is 60 km/h + 100 km/h = 160 km/h.

Now, we can use the formula: time = distance / speed to find the time it takes for the two trains to meet.

Task 2: Distance Traveled by Each Train

Next, we can calculate the distance traveled by each train before they meet. We already know the speeds of the trains and the time it takes for each train to cover the distance between the two cities.

For the first train: - Speed (v1) = 60 km/h - Time (t1) = 20 hours - Distance covered by the first train = Speed * Time

For the second train: - Speed (v2) = 100 km/h - Time (t2) = 12 hours - Distance covered by the second train = Speed * Time

Task 3: Meeting Point Calculation

Finally, we can calculate the meeting point of the two trains using the distances they have traveled individually.

Let's proceed with the calculations based on the given data.