Question

Два автобуса отъехали одновременно от остановки в противоположных направлениях. Через 2 часа расстояние между ними стало 270 км. Скорость одного из этих автобусов 70км/ч. Найди скорость другого автобуса. Реши задачу двумя способами. Спасибо

Answer 1

Ответ:

Пошаговое объяснение:

2*70=140 км - проехал первый автобус

270-140=130 км проехал второй автобус

130/2=65 км/ч скорость второго

270/2=135 км/ч общая скорость

135-70=65 км/ч скорость второго

Answer 2

Ответ:

Скорость второго автобуса - 65 км/ч

Пошаговое объяснение:

1 способ:

1) 270 : 2 = 135 (км) - V отдаления.

2) 135 - 70 = 65 (км/ч) - V второго автобуса

2 способ:

1) 70 х 2 = 140 (км) - первый автобус отдалился от остановки за 2 часа

2) 270 - 140 = 130 (км) - второй автобус отдалился от остановки за 2 часа

3) 130 : 2 = 65 (км/ч) - V второго автобуса

Ответ: 65 км/ч

Answer 3

Problem Analysis

We are given that two buses depart simultaneously from a bus stop in opposite directions. After 2 hours, the distance between them is 270 km. We are also given that the speed of one of the buses is 70 km/h. We need to find the speed of the other bus.

Method 1: Using Relative Speed

Let's assume the speed of the other bus is x km/h.

After 2 hours, the first bus would have traveled a distance of 70 km/h * 2 h = 140 km.

The total distance between the two buses is 270 km. Since they are moving in opposite directions, the relative speed between them is the sum of their individual speeds.

So, the relative speed between the two buses is 70 km/h + x km/h.

Using the formula distance = speed * time, we can write the equation:

140 km + (70 km/h + x km/h) * 2 h = 270 km

Simplifying the equation, we get:

140 km + 140 km/h + 2x km/h = 270 km

Combining like terms, we have:

280 km + 2x km/h = 270 km

Subtracting 280 km from both sides, we get:

2x km/h = -10 km

Dividing both sides by 2, we find:

x km/h = -5 km

Since speed cannot be negative, we can conclude that there is an error in the given information or the problem statement.

Method 2: Using Time and Distance

Let's assume the speed of the other bus is x km/h.

After 2 hours, the first bus would have traveled a distance of 70 km/h * 2 h = 140 km.

The total distance between the two buses is 270 km. Since they are moving in opposite directions, the sum of the distances traveled by both buses should be equal to the total distance.

So, we can write the equation:

140 km + x km/h * 2 h = 270 km

Simplifying the equation, we get:

140 km + 2x km = 270 km

Subtracting 140 km from both sides, we have:

2x km = 130 km

Dividing both sides by 2, we find:

x km = 65 km

Therefore, the speed of the other bus is 65 km/h.

Conclusion

Using two different methods, we found that the speed of the other bus is 65 km/h.