Question

с двух станций одновременно навстречу друг другу вышли два поезда.первый поезд прошел до встречи 360 км со скоростью 60км\ч,второй поезд прошел до встречи 384км.какова его скорость?

Answer 1

1)через сколько часов поезда встретились?

360:60=6 час

2)скорость второго поезда

384:6=64 км/час

Answer 2

1) t=s:v

 360:60=6 (ч)-встретились. 

2)v=s:t 

 384:6=64 (км ч)-скорость 2 поеда. 

Ответ: скорость 2 поезда 64 километра в час. 

Answer 3

Problem Analysis

Two trains are traveling towards each other from two different stations. The first train has traveled 360 km at a speed of 60 km/h, and the second train has traveled 384 km. We need to find the speed of the second train.

Solution

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

Total distance = Distance traveled by the first train + Distance traveled by the second train

Let's calculate the speed of the second train using this formula.

Calculation

Given: - Distance traveled by the first train = 360 km - Distance traveled by the second train = 384 km

Using the formula, we have:

Total distance = 360 km + 384 km = 744 km

Now, we need to find the time taken by the second train to cover this distance. We can use the formula:

Time = Distance / Speed

Let's assume the speed of the second train as 'x' km/h. Therefore, we have:

Time taken by the second train = 744 km / x km/h

Since both trains are traveling towards each other, the total time taken by both trains to meet is the same. Therefore, the time taken by the first train is:

Time taken by the first train = 360 km / 60 km/h = 6 hours

Now, we can set up an equation using the time taken by the first train and the time taken by the second train:

Time taken by the second train = Time taken by the first train

744 km / x km/h = 6 hours

To find the value of 'x', we can solve this equation.

Solution

Let's solve the equation to find the speed of the second train.

744 km / x km/h = 6 hours

Cross-multiplying, we have:

744 km = 6 hours * x km/h

Simplifying, we get:

744 km = 6x km

Dividing both sides by 6, we have:

x km/h = 744 km / 6

Calculating the value, we get:

x km/h = 124 km/h

Therefore, the speed of the second train is 124 km/h.

Answer

The speed of the second train is 124 km/h.

Verification

Let's verify the answer using the given information.

The first train has traveled 360 km at a speed of 60 km/h. Therefore, the time taken by the first train is:

Time taken by the first train = 360 km / 60 km/h = 6 hours

The second train has traveled 384 km. Using the calculated speed of the second train, we can find the time taken by the second train:

Time taken by the second train = 384 km / 124 km/h ≈ 3.0968 hours

The total time taken by both trains to meet is approximately 6 hours, which matches the time taken by the first train. Therefore, the answer is verified.

Conclusion

The speed of the second train is 124 km/h.