Question

Из двух городов расстояние между которыми 770 км одновременно выехали навстречу друг другу два поезда первый поезд двигался со скоростью 52 км/ч Найди скорость второго поезда если они встретились через 7 часов

Answer 1

1)52*7=364(км)-проехал 1 поезд
2)770-364=406(км)-проехал 2 поезд
3)406:7=58(км/ч)- скорость 2 поезда
Изи

Answer 2

Problem Analysis

We are given that two trains are traveling towards each other from two cities that are 770 km apart. The first train is traveling at a speed of 52 km/h. We need to find the speed of the second train if they meet after 7 hours.

Solution

To find the speed of the second train, we can use the formula:

Distance = Speed × Time

Let's denote the speed of the second train as x km/h. The distance traveled by the first train is given by:

Distance1 = Speed1 × Time

Substituting the given values:

Distance1 = 52 km/h × 7 hours

The distance traveled by the second train is given by:

Distance2 = Speed2 × Time

Substituting the given values:

Distance2 = x km/h × 7 hours

Since the two trains are traveling towards each other, the sum of their distances should be equal to the total distance between the cities:

Distance1 + Distance2 = 770 km

Substituting the values:

(52 km/h × 7 hours) + (x km/h × 7 hours) = 770 km

Simplifying the equation:

364 km + 7x km = 770 km

7x km = 770 km - 364 km

7x km = 406 km

To find the value of x, we can divide both sides of the equation by 7:

x km = 406 km / 7

Now we can calculate the value of x.

Calculation

Let's calculate the value of x using the given equation:

x km = 406 km / 7

x km ≈ 58.0 km/h

Answer

The speed of the second train is approximately 58.0 km/h.

Verification

To verify the answer, let's substitute the calculated value of x into the equation:

(52 km/h × 7 hours) + (58.0 km/h × 7 hours) = 770 km

364 km + 406 km = 770 km

770 km = 770 km

The equation is balanced, which confirms that the calculated value of x is correct.