Question

Два автобуса выехали одновременно навстречу друг другу из двух городов расстояние между ними 600 км. скорость 1 автобуса 56 км/ч с какой скоростью ехал 2-ой автобус если через 3 часа после выезда расстояние между ними стало 240 км ?

Answer 1

Problem Analysis

We have two buses that start simultaneously from two different cities and are traveling towards each other. The initial distance between them is 600 km. We know the speed of the first bus is 56 km/h. After 3 hours, the distance between them becomes 240 km. We need to find the speed of the second bus.

Solution

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

Speed = Distance / Time

Let's calculate the time it took for the buses to cover the initial distance of 600 km. Since they started simultaneously, the time for both buses will be the same.

Time = Distance / Speed

For the first bus: Time1 = 600 km / 56 km/h

After 3 hours, the distance between the buses becomes 240 km. We can calculate the time it took for the buses to cover this distance using the same formula.

For the second bus: Time2 = 240 km / Speed2

Since the time for both buses is the same, we can equate the two expressions for time and solve for Speed2.

Time1 = Time2

600 km / 56 km/h = 240 km / Speed2

Let's calculate the speed of the second bus.

Calculation

Using the given values:

Time1 = 600 km / 56 km/h = 10.714 hours

Time2 = 240 km / Speed2

Since Time1 = Time2:

10.714 hours = 240 km / Speed2

To find Speed2, we can rearrange the equation:

Speed2 = 240 km / 10.714 hours

Calculating the value of Speed2:

Speed2 = 22.4 km/h

Answer

The second bus was traveling at a speed of 22.4 km/h.