Question

Расстояние между городами A и B пассажирский поезд проходит на 0,6 часа быстрее, чем товарный. Найти это расстояние, если скорость пассажирского 60 км/ч, а товарного 48 км/ч

Answer 1

S=t*60=(t+0,6)*48
60t-48t=48*0,6
12t=48*0,6
   t=48*0,6/12=4*0,6=2,4ч
S=60*2,4=24*6=144 км.

Answer 2

Problem Analysis

We are given that the passenger train travels between cities A and B 0.6 hours faster than the freight train. We are also given the speeds of the passenger and freight trains. We need to find the distance between cities A and B.

Solution

Let's assume the distance between cities A and B is d kilometers.

We know that the passenger train travels at a speed of 60 km/h and the freight train travels at a speed of 48 km/h.

The time taken by the passenger train to travel the distance d is given by: time taken by passenger train = d / 60 hours

The time taken by the freight train to travel the distance d is given by: time taken by freight train = d / 48 hours

According to the problem, the passenger train takes 0.6 hours less than the freight train to travel the same distance. So we can write the equation:

(d / 60) = (d / 48) - 0.6

Let's solve this equation to find the value of d.

(d / 60) = (d / 48) - 0.6

Multiplying both sides of the equation by 60 and 48 to eliminate the denominators:

48d = 60d - 28.8

Rearranging the equation:

12d = 28.8

Dividing both sides of the equation by 12:

d = 2.4

Therefore, the distance between cities A and B is 2.4 kilometers.

Answer

The distance between cities A and B is 2.4 kilometers.