Question

Два поїзди вийшли одночасно назустріч один одному.перший поїзд рухався зі швидкістю 72 км\год.а другий 68 км\год.другий поїзд до зустрічі пройшов 408 км. яку відстань до зустрічі прйшов перший поїзд

Answer 1

408:68=6 годин рухалися поїзда до зустрічи
72*6=432 км пройшов до зустрічи перший поїзд
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Answer 2

Problem Analysis

We are given two trains that start at the same time and are moving towards each other. The first train has a speed of 72 km/h, and the second train has a speed of 68 km/h. We need to find the distance traveled by the first train before they meet.

Solution

To solve this problem, we can use the formula:

Distance = Speed × Time

Let's assume that the first train traveled a distance of x km before they met. Since the second train has already traveled 408 km, the total distance between the two trains is the sum of the distances traveled by each train:

x + 408 km

We can now calculate the time it took for each train to travel their respective distances. The time is given by the formula:

Time = Distance / Speed

For the first train: Time1 = x km / 72 km/h

For the second train: Time2 = 408 km / 68 km/h

Since both trains started at the same time, the time taken by both trains will be the same. Therefore, we can equate the two time expressions:

x / 72 = 408 / 68

Now, we can solve this equation to find the value of x.

Calculation

Let's solve the equation:

x / 72 = 408 / 68

Cross-multiplying, we get:

68x = 72 × 408

Simplifying further:

68x = 29376

Dividing both sides by 68:

x = 432

Answer

Therefore, the first train traveled a distance of 432 km before they met the second train.

Verification

Let's verify our answer using the given information.

The first train traveled at a speed of 72 km/h for a time of 432 km / 72 km/h = 6 hours.

The second train traveled at a speed of 68 km/h for a time of 408 km / 68 km/h = 6 hours.

Both trains traveled for the same amount of time, which confirms that our answer is correct.

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