Question

Из саратова в москву вышел пассажирский поезд со скоростью 55 км/ч, а через 2 часа вслед за ним отправился скорый поезд со скоростью 66 км/ч. На каком расстоянии от москвы второй поезд догонит первый, если расстояние от саратова до москвы 855 км?

Answer 1

1) 66-55=11 (км/ч) скорость сближения.
2)855-(11*2)=

Answer 2

Problem Analysis

We are given the following information: - A passenger train left Saratov for Moscow at a speed of 55 km/h. - Two hours later, an express train left Saratov for Moscow at a speed of 66 km/h. - The distance from Saratov to Moscow is 855 km.

We need to determine at what distance from Moscow the second train will catch up to the first train.

Solution

To solve this problem, we can use the formula:

Distance = Speed × Time

Let's calculate the time it takes for the second train to catch up to the first train.

The first train has a head start of 55 km/h × 2 h = 110 km.

Now, let's calculate the time it takes for the second train to catch up to the first train:

Time = Distance / Relative Speed

The relative speed is the difference in speed between the two trains, which is 66 km/h - 55 km/h = 11 km/h.

Time = 110 km / 11 km/h = 10 h

Since the second train started 2 hours after the first train, the total time it takes for the second train to catch up to the first train is 10 h + 2 h = 12 h.

Now, let's calculate the distance the second train travels in 12 hours:

Distance = Speed × Time = 66 km/h × 12 h = 792 km

Therefore, the second train will catch up to the first train at a distance of 792 km from Moscow.

Answer

The second train will catch up to the first train at a distance of 792 km from Moscow.

Note: The calculations are based on the given information and assumptions.