Question

Два поезда прошли с одинаковой скоростью - один 800 км, а второй 320, причем первый был в пути на 12 часов больше второго. Сколько времени был в пути каждый поезд?

Answer 1

1) 800-320=480(км)-проехал больше первый поезд 2) 480:12=40(км/ч)-скорость поездов 3) 800:40=20(ч)-был в пути первый поезд 4) 320:40=8(ч)-был в пути второй поезд

Answer 2

Problem Analysis

We are given two trains that traveled at the same speed. The first train traveled a distance of 800 km, while the second train traveled a distance of 320 km. The first train was on the road for 12 hours longer than the second train. We need to find the time each train spent on the road.

Solution

Let's assume that the speed of both trains is x km/h.

We can use the formula distance = speed × time to find the time each train spent on the road.

For the first train: - Distance = 800 km - Speed = x km/h - Time = 800 / x hours

For the second train: - Distance = 320 km - Speed = x km/h - Time = 320 / x hours

We also know that the first train was on the road for 12 hours longer than the second train. So we can set up the equation:

800 / x = 320 / x + 12

To solve this equation, we can cross-multiply and solve for x:

800(x + 12) = 320x

Simplifying the equation:

800x + 9600 = 320x

480x = 9600

x = 20

Now that we have the value of x, we can substitute it back into the equations to find the time each train spent on the road:

For the first train: - Distance = 800 km - Speed = 20 km/h - Time = 800 / 20 = 40 hours

For the second train: - Distance = 320 km - Speed = 20 km/h - Time = 320 / 20 = 16 hours

Answer

The first train was on the road for 40 hours, while the second train was on the road for 16 hours.