Question

Грузовик выехал со скоростью 50 км/ч через 2 часа за ним выйхала легковая машина ,скорось которой больше скорости грузовика на 25 км/ч ,найдите растояние от города до села если обе машины прибыли в село одновременно

Answer 1

1)50*2=100(км)-расстояние грузовика.
2)50+25=75(км/ч)-скорость легковой машины.
3)75*3=225(км)-расстояние легковой машины.
4)225+100=325(км)-от города до села.
Ответ:расстояние от города до села 325 км.

Answer 2

Problem Analysis

We are given that a truck travels at a speed of 50 km/h, and after 2 hours, a car with a speed 25 km/h faster than the truck starts following it. We need to find the distance from the city to the village if both vehicles arrive at the village simultaneously.

Solution

Let's assume the distance from the city to the village is d km.

The truck travels for 2 hours at a speed of 50 km/h, so it covers a distance of 100 km (2 hours * 50 km/h).

The car starts 2 hours later and travels at a speed 25 km/h faster than the truck, so its speed is 75 km/h (50 km/h + 25 km/h). The car also covers the same distance d.

To find the distance d, we can set up the following equation:

100 km + d = 75 km * t

Where t is the time taken by the car to cover the distance d.

Since both vehicles arrive at the village simultaneously, the time taken by the car is the same as the time taken by the truck plus the 2-hour delay:

t = 2 + t

Simplifying the equation, we get:

100 km + d = 75 km * (2 + t)

Solving this equation will give us the value of d, which is the distance from the city to the village.

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

Calculation

100 km + d = 75 km * (2 + t)

We know that the car's speed is 75 km/h, so the time taken by the car to cover the distance d is:

t = d / 75

Substituting this value in the equation:

100 km + d = 75 km * (2 + d / 75)

Simplifying the equation:

100 km + d = 150 km + 2d

Rearranging the equation:

d = 50 km

Therefore, the distance from the city to the village is 50 km.

Answer

The distance from the city to the village is 50 km.

Conclusion

In this problem, we found that the distance from the city to the village is 50 km. We used the given information about the speeds of the truck and car, as well as the time delay, to set up an equation and solve for the distance.