Question

Поезд проходит путь от станции M до станции N за 10 часов. Если бы скорость поезда была на 10км/ч больше, то он бы прошел тот же путь за 8 часов. Определитерасстояние от M до N и скорость поезда.ПОЖАЛУЙСТА НУЖНО РЕШИТЬ ПО ДЕЙСТВИЯМ

Answer 1

Скорость поезда первоначальная Х ( км/час )
Увеличенная скорость ( Х + 10 ) км/час
10Х = 8 * ( Х + 10 )
2Х = 80
Х = 40 ( км/час ) первоначальная скорость
40 + 10 = 50 ( км/час ) увеличенная скорость
10 * 40 = 400 ( км ) расстояние
Ответ 400 км

Answer 2

S - расстояние              t1= 10 ч  - время       v1 - скорость
S=t*v         S1=S2                    t2= 8         v2 =v1 +10  
S1= 10*V1          S2=8 *(v1 +10 ) теперь расстояния прировняем друг-другу
10*v1= 8*(v1 +10) раскрываем скобки в правой части
10*v1 =8*v1 +80  в левую часть переносим буквенные наименования 
10*v1 - 8v1 =80 
2v1 =80
находим скорость  v1=80:2      v1=40 км\ч     v2= 40+10=50 км\ч
Находим расстояние  50*8=400 км или  40 *10= 400 км

Answer 3

Problem Analysis

We are given that a train travels from station M to station N in 10 hours. If the train's speed were 10 km/h faster, it would cover the same distance in 8 hours. We need to determine the distance between stations M and N, as well as the speed of the train.

Solution

Let's assume the distance between stations M and N is d km and the speed of the train is v km/h.

According to the given information, we have two equations:

1. Equation 1: The train covers the distance between M and N in 10 hours. - Distance = Speed × Time - d = v × 10

2. Equation 2: If the train's speed were 10 km/h faster, it would cover the same distance in 8 hours. - Distance = Speed × Time - d = (v + 10) × 8

We can solve this system of equations to find the values of d and v.

Solving the Equations

Let's solve the system of equations using the substitution method.

From Equation 1, we have: d = v × 10

Substituting this value of d into Equation 2, we get: v × 10 = (v + 10) × 8

Expanding the equation: 10v = 8v + 80

Simplifying the equation: 10v - 8v = 80 2v = 80 v = 40

Now, substituting the value of v back into Equation 1, we can find the value of d: d = v × 10 d = 40 × 10 d = 400

Answer

The distance between stations M and N is 400 km and the speed of the train is 40 km/h.

Please note that the solution is based on the given information and the calculations performed.