Question

Два поезда идут навстречу друг другу с двух станций,расстояние между которыми 385 км. Первый вышел раньше на 2 ч и движется со скоростью 53 км/ч. Через 3 ч после выхода второго поезда они встретились.Какова скорость второго поезда? Помогите решить пожалуйста!

Answer 1

Если первый поезд выехал на 2 часа раньше, а встретились они через 3 часа после выхода второго поезда, то первый поезд находился в пути 3+2=5 часов, за это время он проехал 53х5=265 км385-265=120 км проехал второй поезд до места встречи120/3=40 км/ч скорость второго поезда

Answer 2

Problem Analysis

We have two trains traveling towards each other from two different stations. The distance between the stations is 385 km. The first train started 2 hours earlier and is traveling at a speed of 53 km/h. The two trains meet after 3 hours of the second train's departure. We need to find the speed of the second train.

Solution

To solve this problem, we can use the formula:

Distance = Speed × Time

Let's calculate the distance traveled by each train and set up an equation to find the speed of the second train.

Calculation

The first train started 2 hours earlier and traveled for a total of 3 + 2 = 5 hours. The distance traveled by the first train is:

Distance1 = Speed1 × Time1 = 53 km/h × 5 h = 265 km

The second train traveled for 3 hours. The distance traveled by the second train is:

Distance2 = Speed2 × Time2

The total distance traveled by both trains is equal to the distance between the two stations, which is 385 km.

Distance1 + Distance2 = 385 km

Substituting the values we have:

265 km + Distance2 = 385 km

Simplifying the equation:

Distance2 = 385 km - 265 km = 120 km

Now we can solve for the speed of the second train:

Speed2 = Distance2 / Time2 = 120 km / 3 h = 40 km/h

Answer

The speed of the second train is 40 km/h.