Question

ПОМОГИТЕЕЕЕЕ УМОЛЯЮ! От фруктового сада до города 420км.Из сада в город со скоростью 65км.ч отправилась машина.Одновременно с ней,из города в сад ,выехала другая машина со скоростью 75км.ч.На каком расстоянии от города эти машины встретились.

Answer 1

65+75=140км/час скорость сближения
420:140=3часа встретятся
75*3=225км от города встретятся

Answer 2

Problem Analysis

We are given that the distance from the fruit garden to the city is 420 km. One car travels from the garden to the city at a speed of 65 km/h, while another car simultaneously travels from the city to the garden at a speed of 75 km/h. We need to determine the distance from the city where these two cars meet.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed between the two cars is the sum of their individual speeds. In this case, the relative speed is 65 km/h + 75 km/h = 140 km/h.

Let's assume that the two cars meet after traveling a distance of x km from the city. At that point, the car traveling from the garden to the city would have covered a distance of (420 - x) km, while the car traveling from the city to the garden would have covered a distance of x km.

Since the time taken by both cars to meet is the same, we can use the formula:

Time = Distance / Speed

For the car traveling from the garden to the city: Time = (420 - x) km / 65 km/h

For the car traveling from the city to the garden: Time = x km / 75 km/h

Since the time taken by both cars is the same, we can equate the two expressions:

(420 - x) / 65 = x / 75

Simplifying this equation, we can solve for x:

75(420 - x) = 65x

31500 - 75x = 65x

31500 = 140x

x = 31500 / 140

x ≈ 225 km

Therefore, the two cars will meet at a distance of approximately 225 km from the city.

Answer

The two cars will meet at a distance of approximately 225 km from the city.