Question

Скорый поезд проходит за 5 часов на 40 км больше чем пассажирский за 6 часов.Найдите их скорости,если известно что числа 1 и 2 скорости делятся на 10 и оба меньше 100,но больше 50 ПОМОГИТЕ ПОЖАЛУЙСТА!!!

Answer 1

Скорость скорого поезда 80 км в час и за 5 часов он проедет 400км ,а скорость пассажирского поезда 60 км в час и за 6 часов он проедет 360 км .поэтому скорый поезд проезжает на 40 км больше

Answer 2

Problem Analysis

We are given that a fast train takes 5 hours to travel a certain distance, while a passenger train takes 6 hours to cover the same distance. The fast train travels 40 km more than the passenger train. We need to find the speeds of both trains, given that the speeds are divisible by 10, less than 100, but greater than 50.

Solution

Let's assume the speed of the passenger train is x km/h. Since the distance covered by the fast train is 40 km more than the distance covered by the passenger train, the speed of the fast train will be x + 40 km/h.

We can use the formula speed = distance / time to find the speeds of both trains.

For the passenger train: - Distance = x km - Time = 6 hours

For the fast train: - Distance = (x + 40) km - Time = 5 hours

Using the formula, we can set up the following equations:

Passenger train: x = (distance) / (time) = x / 6

Fast train: x + 40 = (distance) / (time) = (x + 40) / 5

Now we can solve these equations to find the values of x and x + 40.

Calculation

Let's solve the equations:

Passenger train: x = (x / 6) * 6 x = x

Fast train: x + 40 = (x + 40) / 5 * 5 5(x + 40) = (x + 40) 5x + 200 = x + 40 4x = -160 x = -40

Since the speed cannot be negative, we can conclude that there is no valid solution for this problem.

Conclusion

There is no valid solution for this problem. The given conditions cannot be satisfied simultaneously.