Question

Поезд А и поезд В движутся с одинаковой скоростью .какое расстояние пройдет поезд А за 7 ч. а поезд В за 3 ч.если известно что оба преодолеют 1000 км.

Answer 1

Скорость поездов равна : 1000 / (7 + 3) = 1000 / 10 = 100 км/ч
Поезд А пройдет за 7 часов : 100 * 7 = 700 км
Поезд В пройдет за 3 часа : 100 * 3 = 300 км

Answer 2

Problem Analysis

We are given that trains A and B are moving at the same speed and will both cover a distance of 1000 km. We need to find the distance covered by train A in 7 hours and train B in 3 hours.

Solution

Since both trains are moving at the same speed, we can assume that their speeds are equal. Let's denote the speed of both trains as s.

We know that speed is defined as distance divided by time. Therefore, we can write the following equations:

For train A: s = distance_A / time_A

For train B: s = distance_B / time_B

Since both trains are moving at the same speed, we can equate the two equations:

distance_A / time_A = distance_B / time_B

We are given that distance_A = distance_B = 1000 km. Substituting this value into the equation, we get:

1000 / time_A = 1000 / time_B

To find the distance covered by train A in 7 hours, we need to solve for time_A when time_B is 3 hours. Let's substitute these values into the equation:

1000 / 7 = 1000 / 3

Simplifying the equation, we find:

distance_A = (1000 / 7) * 3

Now we can calculate the distance covered by train A.

Calculation

Let's calculate the distance covered by train A in 7 hours.

distance_A = (1000 / 7) * 3

Using the given values, we find:

distance_A = (1000 / 7) * 3 = 428.57 km

Therefore, train A will cover approximately 428.57 km in 7 hours.

Answer

Train A will cover approximately 428.57 km in 7 hours.