Question

поезд проходит расстояние из города А в город Б за 10 часов 40 минут. Если бы скорость поезда в час была бы на 10 км меньше, то он прибыл бы в город Б на 2 часа 8 минут позже.Найдите скорость поезд и расстояние между городами

Answer 1

x-10

10+40+2+8=12+48=12+48/60=12+8/10=128/10

(x-10)128/10=S1

x*32/3 =S1

(x-10)*128/10=32/3x 

(64x-640) *3=5*32x

x=60

60*32/3  =640 км

Answer 2

Обозначим начальную скорость за Х, 

Будем использовать скорость в километрах в минуту, поскольку расстояние в обоих случаях одинаковое то мы можем вырозить это расстояние в каждом случае и приравнять.

1 ) Время 640 мин. Скорость Х, значит расстояние равно 640Х 

2 ) Время 640мин. + 128мин. = 768мин, Скорость Х - 1/6 ( 10 км в час это 1/6 км в мин. ) ,

значит расстояние равно 768 * ( Х - 1/6 ) 

640Х = 768* ( Х - 1/6 ) 

768Х - 128 = 640Х

128Х = 128 

Х = 1 = 1км в мин, значит 60 км в час = скорость поезда. 

60 * 10 2/3 ( 2/3 это 40 мин ) = 640 км расстояние.

Answer 3

Problem Analysis

We are given that a train travels from city A to city B in 10 hours and 40 minutes. If the train's speed were 10 km/h slower, it would arrive in city B 2 hours and 8 minutes later. We need to find the speed of the train and the distance between the two cities.

Solution

Let's assume the speed of the train is v km/h and the distance between city A and city B is d km.

From the given information, we can form two equations:

Equation 1: The train travels the distance between city A and city B in 10 hours and 40 minutes, which is equal to 10.67 hours. Equation 2: If the train's speed were 10 km/h slower, it would arrive in city B 2 hours and 8 minutes later, which is equal to 2.13 hours.

Using these equations, we can solve for the speed of the train and the distance between the two cities.

Calculation

Let's solve the equations step by step:

Equation 1: d = v * 10.67 (1) Equation 2: d = (v - 10) * 12.21 (2)

To find the speed of the train, we can equate equations (1) and (2):

v * 10.67 = (v - 10) * 12.21

Simplifying the equation:

10.67v = 12.21v - 122.1

1.54v = 122.1

v = 79.35

Therefore, the speed of the train is approximately 79.35 km/h.

To find the distance between city A and city B, we can substitute the value of v into equation (1):

d = 79.35 * 10.67

d ≈ 846.85

Therefore, the distance between city A and city B is approximately 846.85 km.

Answer

The speed of the train is approximately 79.35 km/h and the distance between city A and city B is approximately 846.85 km.

Note: The calculations are approximate due to rounding off the decimal values during the calculation process.