Question

1. Со станции Домисолька вышел поезд со скоростью 48 км/час. Через 2 часа с той же станции в противоположном направлении вышел другой поезд, и через 3 часа после его выхода расстояние между поездами стало 402 км. Найдите скорость второго поезда.

Answer 1

48*(2+3)=240 км проехал первый поезд
402-240= 162км проехал второй поезд
162:3=54 км/ч скорость второго поезда
Ответ: 54км/ч

Answer 2

Problem Analysis

To find the speed of the second train, we can use the concept of relative speed. Let's denote the speed of the first train as v1 and the speed of the second train as v2. We know that the distance between the trains increases at a rate of 48 km/h (speed of the first train) + v2 km/h (speed of the second train) when they are moving in opposite directions.

Calculating the Speed of the Second Train

Using the given information, we can set up the following equation to find the speed of the second train:

Distance = Speed × Time

For the first train: 48 km/h × 2 h = 96 km

For the second train: v2 × 3 h = 402 km - 96 km

Solving for v2: v2 = (402 km - 96 km) / 3 h

Calculation

v2 = 306 km / 3 h = 102 km/h

So, the speed of the second train is 102 km/h.

This calculation is based on the given information and the concept of relative speed.