Question

Помогите: Из двух городов,расстояние между которыми 7 400 км,вылетели одновременно навстречу два самолёта и встретились через 4 ч. Скорость одного самолёта 950 км/ч. Определи скорость второго самолёта

Answer 1

950×4=3.800(км)- пролетел первый самолёт
7.400-3.800=3.600(км)- пролетел второй самолёт
3.600÷4=900(км/ч)- скорость второго самолёта

Answer 2

Problem Analysis

We have two airplanes that took off simultaneously from two cities and flew towards each other. They met after 4 hours. We know the distance between the two cities is 7,400 km, and the speed of one of the airplanes is 950 km/h. We need to determine the speed of the second airplane.

Solution

Let's assume the speed of the second airplane is x km/h.

The total distance traveled by the first airplane in 4 hours is 950 km/h * 4 hours = 3,800 km.

The total distance traveled by the second airplane in 4 hours is x km/h * 4 hours = 4x km.

Since the two airplanes met, the sum of the distances traveled by both airplanes should be equal to the total distance between the cities:

3,800 km + 4x km = 7,400 km

To find the speed of the second airplane, we can solve this equation for x.

Calculation

Let's solve the equation:

3,800 km + 4x km = 7,400 km

Subtracting 3,800 km from both sides:

4x km = 7,400 km - 3,800 km

4x km = 3,600 km

Dividing both sides by 4:

x km = 3,600 km / 4

x km = 900 km/h

Answer

The speed of the second airplane is 900 km/h.

Verification

Let's verify the answer using the given information.

The first airplane traveled at a speed of 950 km/h for 4 hours, covering a distance of 950 km/h * 4 hours = 3,800 km.

The second airplane traveled at a speed of 900 km/h for 4 hours, covering a distance of 900 km/h * 4 hours = 3,600 km.

The sum of the distances traveled by both airplanes is 3,800 km + 3,600 km = 7,400 km, which matches the total distance between the cities.

Therefore, the answer is verified.