Question

В 10.00 со станции выехал поезд со скоростью 49,5 км/ч. Через 2 часа после отхода этого поезда с той же станции в том же направлении отправился второй поезд со скоростью 57,75 км/ч. Во сколько второй поезд догонит первый?

Answer 1

Problem Analysis

We are given two trains that depart from the same station in the same direction. The first train has a speed of 49.5 km/h, and the second train has a speed of 57.75 km/h. We need to determine at what time the second train will catch up to the first train.

Solution

To solve this problem, we can use the formula: time = distance / speed.

Let's assume that the second train catches up to the first train after time 't' hours. During this time, the first train will travel a distance of 49.5 * t km, and the second train will travel a distance of 57.75 * t km.

Since the second train catches up to the first train, the distances traveled by both trains must be equal. Therefore, we can set up the following equation:

49.5 * t = 57.75 * t

Simplifying the equation, we get:

57.75 * t - 49.5 * t = 0

8.25 * t = 0

t = 0

This equation implies that the two trains will meet at the same point at time t = 0. However, this is not possible since the second train departs 2 hours after the first train. Therefore, there is no solution to this problem.

Answer

The second train will not catch up to the first train because they will never meet.