Question

Из двух городов одновременно выехали навстречу друг другу 2 электрички. Одна электричка ехала со скоростью 56 км/ч, а другая - на 4 км/ч быстрее. Через сколько часов они встретятся, если расстояние между городами 812 км? подробное решение если не трудно

Answer 1

56+4 =60 км - скорость второй электрички

56+60=116км- скорость сближения

812:116=7 ч - они встретятся

Answer 2

Problem Analysis

We are given that two trains are traveling towards each other from two different cities. One train is traveling at a speed of 56 km/h, while the other train is traveling 4 km/h faster. We need to determine how many hours it will take for the trains to meet, given that the distance between the cities is 812 km.

Solution

To solve this problem, we can use the formula: time = distance / relative speed.

Let's calculate the relative speed of the two trains first. Since one train is traveling 4 km/h faster than the other, the relative speed between the two trains is the sum of their speeds. Therefore, the relative speed is 56 km/h + (56 km/h + 4 km/h) = 116 km/h.

Now, we can calculate the time it will take for the trains to meet by dividing the distance between the cities by the relative speed: time = 812 km / 116 km/h.

Let's calculate the result.

Calculation

Using the formula time = distance / relative speed, we have: time = 812 km / 116 km/h

Calculating the result: time = 7 hours

Answer

The two trains will meet after 7 hours.

Explanation

The two trains are traveling towards each other, so their relative speed is the sum of their individual speeds. In this case, the relative speed is 116 km/h. By dividing the distance between the cities (812 km) by the relative speed, we find that it will take 7 hours for the trains to meet.