Question

Расстояние между пунктами а и б равно 175км. Товарный поезд проходит это расстояние за 3,6ч,а скорый поезд за2,4ч. Через сколько часов эти поезда встретятся, если одновременно выйдут навстречу друг другу из этих пунктов?

Answer 1

175/3,6=1750/36=875/18-скорость товарного
175/2,4=1750/24=875/12-скорость скорого
875/18+875/12=1750/36+2625/36=4375/36-совместная скорость
175:4375/36=175*36/4375=7*36/175=1*36/25=36/25=1,44 ч-через столько часов эти поезда встретятся, если одновременно выйдут навстречу друг другу из этих пунктов

Answer 2

Problem Analysis

We are given that the distance between points A and B is 175 km. A freight train covers this distance in 3.6 hours, while a fast train covers it in 2.4 hours. We need to determine how many hours it will take for these trains to meet if they start simultaneously from these points and travel towards each other.

Solution

To solve this problem, we can use the formula: time = distance / speed.

Let's calculate the speeds of the two trains first. The speed of the freight train is given by 175 km / 3.6 hours and the speed of the fast train is given by 175 km / 2.4 hours.

Now, let's assume that the two trains meet after t hours. During this time, the freight train will travel a distance of t * (speed of the freight train) and the fast train will travel a distance of t * (speed of the fast train).

Since the total distance between the two points is 175 km, we can write the equation: t * (speed of the freight train) + t * (speed of the fast train) = 175 km.

Let's solve this equation to find the value of t.

Calculation

The speed of the freight train is 175 km / 3.6 hours, which is approximately 48.61 km/h. The speed of the fast train is 175 km / 2.4 hours, which is approximately 72.92 km/h.

Let's substitute these values into the equation and solve for t:

t * 48.61 km/h + t * 72.92 km/h = 175 km

Combining like terms, we get:

t * (48.61 km/h + 72.92 km/h) = 175 km

Simplifying further, we have:

t * 121.53 km/h = 175 km

Dividing both sides of the equation by 121.53 km/h, we get:

t = 175 km / 121.53 km/h

Calculating this, we find:

t ≈ 1.44 hours

Therefore, the two trains will meet approximately 1.44 hours after they start simultaneously from points A and B.

Answer

The freight train and the fast train will meet approximately 1.44 hours after they start simultaneously from points A and B.

Note: The actual calculation may vary slightly depending on the exact values used for the speeds of the trains.