Question

Из пункта А в пункт И вышел пассажирский поезд. через 3 ч за ним из А вышел скорый поезд. скорый поезд догнал пассажирский в середине пути А и В. В момент прибытия скорого поезда в И пассажирский поезд прошел 13/16 всего пути. Сколько времени требуется пассажирскому поезду на прохождение расстояния от А к В?

Answer 1

- 14 часов.

- не совсем уверена в этом, но, по-моему, ответ такой.

Answer 2

Problem Analysis

We are given the following information: - A passenger train departs from point A to point I. - After 3 hours, an express train departs from point A to point I. - The express train catches up to the passenger train at the midpoint between points A and I. - At the moment the express train arrives at point I, the passenger train has covered 13/16 of the total distance from A to I.

We need to determine the time it takes for the passenger train to travel from point A to point I.

Solution

Let's assume that the total distance from point A to point I is represented by D.

We know that when the express train catches up to the passenger train, the passenger train has covered 13/16 of the total distance. Therefore, the distance covered by the passenger train at that point is (13/16) * D.

Since the express train catches up to the passenger train at the midpoint between points A and I, the distance covered by the express train at that point is also (13/16) * D.

Let's represent the time it takes for the passenger train to travel from point A to the midpoint as t1, and the time it takes for the express train to travel from point A to the midpoint as t2.

We can set up the following equation based on the information given:

(13/16) * D = (t1 / t2) * (13/16) * D

Simplifying the equation, we get:

t1 = t2

This means that the time it takes for the passenger train to travel from point A to the midpoint is equal to the time it takes for the express train to travel from point A to the midpoint.

Since the express train departs 3 hours after the passenger train, the time it takes for the passenger train to travel from point A to the midpoint is 3 hours.

Therefore, the time it takes for the passenger train to travel from point A to point I is 3 hours.

Answer

The passenger train takes 3 hours to travel from point A to point I.