Question

Решение задачи: из лагеря геологов и поселка рыбачий выехали одновременно навстречу друг другу трактор и грузовая машина и встретились через два часа. какое расстояние между поселком рыбачий и лагерем геологов, если трактор двигался со скоростью 20 км/ ч, а скорость грузовой машины была в 3 раза больше?

Answer 1

1)20*3=60км\ч-скорость грузовой машины.
2)20+60=80км\ч-скорость сближения.
3)80*2=160км-расстояние между посёлками.

Answer 2

Problem Analysis

To solve this problem, we need to find the distance between the geologists' camp and the fishing village. We are given that a tractor and a truck left the camp and the village simultaneously and met each other after two hours. The tractor was traveling at a speed of 20 km/h, and the speed of the truck was three times greater.

Solution

Let's assume that the distance between the camp and the village is d kilometers. We can use the formula distance = speed × time to find the distance traveled by each vehicle.

The tractor traveled for 2 hours at a speed of 20 km/h, so the distance it traveled is: distance_tractor = speed_tractor × time = 20 km/h × 2 h = 40 km.

The truck's speed is three times greater than the tractor's speed, so the truck's speed is: speed_truck = 3 × speed_tractor = 3 × 20 km/h = 60 km/h.

The truck also traveled for 2 hours, so the distance it traveled is: distance_truck = speed_truck × time = 60 km/h × 2 h = 120 km.

Since the tractor and the truck met each other, the sum of their distances should be equal to the total distance between the camp and the village: distance_tractor + distance_truck = d.

Substituting the values we found earlier, we have: 40 km + 120 km = d.

Simplifying the equation, we find that the distance between the camp and the village is: d = 160 km.

Therefore, the distance between the fishing village and the geologists' camp is 160 kilometers.

Answer

The distance between the fishing village and the geologists' camp is 160 kilometers.