Question

Два поезда выехали одновременно на встречу один к другому. Первый поезд ехал со скоростью 72км/час а второй 68км/час. Второй поезд до встречи проехал 408 км. Какое растояние до встречи проехал первый поезд?

Answer 1

408:68=6(ч)  t ехал второй поезд

72*6=432(км)S первого поезда

 

Answer 2

Problem Analysis

We are given two trains that start at the same time and are traveling towards each other. The first train is traveling at a speed of 72 km/h, and the second train is traveling at a speed of 68 km/h. We are also given that the second train has traveled 408 km before they meet. We need to find the distance traveled by the first train before the meeting point.

Solution

To find the distance traveled by the first train, we can use the formula:

Distance = Speed × Time

Let's assume that the time taken for the trains to meet is 't' hours. Since both trains are traveling towards each other, the sum of the distances traveled by both trains will be equal to the total distance between them.

Let's calculate the time taken for the trains to meet:

Distance traveled by the first train = Speed of the first train × Time

Distance traveled by the second train = Speed of the second train × Time

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

Given that the second train has traveled 408 km before they meet, we can set up the equation:

408 km = (Speed of the second train × Time)

Now, let's solve the equation to find the time taken for the trains to meet:

Time = 408 km / Speed of the second train

Substituting the given values:

Time = 408 km / 68 km/h = 6 hours

Now that we have the time, we can calculate the distance traveled by the first train:

Distance traveled by the first train = Speed of the first train × Time

Distance traveled by the first train = 72 km/h × 6 hours = 432 km

Therefore, the first train traveled 432 km before the meeting point.

Answer

The first train traveled 432 km before the meeting point.