Question

2 ПОЕЗДА ОДНОВРЕМЕННО ВЫШЛИ НАВСТРЕЧУ ДРУГ ДРУГУ ИЗ ДВУХ ГОРОДОВ ,РАССТОЯНИЕ МЕЖДУ КОТОРЫМИ 495КМ.ЧЕРЕЗ 3Ч ОНИ ВСТРЕТИЛИСЬ.КАКОВА СКОРОСТЬ КАЖДОГО ПОЕЗДА, ЕСЛИ ИЗВЕСТНО ,ЧТО СКОРОСТЬ ОДНОГО ИЗ НИХ НА 5КМ/Ч БОЛЬШЕ СКОРОСТИ ДРУГОГО?

Answer 1

3х+3(х+5)=495

3х+3х+15=495

6х=480

х=480/6

х=80 первого

85 второго

Answer 2

Problem Analysis

We have two trains that start simultaneously from two different cities and meet after 3 hours. The distance between the two cities is 495 km. We need to find the speed of each train, given that one train is traveling 5 km/h faster than the other.

Solution

Let's assume the speed of one train is x km/h. Since the other train is traveling 5 km/h faster, its speed will be (x + 5) km/h.

We know that the time taken by both trains to meet is 3 hours, and the total distance traveled by both trains is 495 km.

To find the speed of each train, we can use the formula:

Speed = Distance / Time

Let's calculate the speeds of both trains.

Calculation

The speed of the first train is x km/h.

The speed of the second train is (x + 5) km/h.

The total distance traveled by both trains is 495 km.

The time taken by both trains to meet is 3 hours.

Using the formula Speed = Distance / Time, we can set up the following equations:

For the first train: x = Distance / Time x = 495 / 3

For the second train: (x + 5) = Distance / Time (x + 5) = 495 / 3

Simplifying the equations:

For the first train: x = 165 km/h

For the second train: (x + 5) = 170 km/h

Answer

The speed of the first train is 165 km/h, and the speed of the second train is 170 km/h.

Note: The above calculations assume that the speeds of the trains are constant throughout the journey and that there are no other factors affecting their speeds.