Question

Из одного пункта в протвоположных направлениях одновременно выехали две автомашины со скоростями 60 км/ч и 80 км/ч. Какое расстояние будет между ними через 3 ч? Решите задачу двумя способами

Answer 1

60+80=140
140*3=420
Ответ 420

Answer 2

Problem Statement

Две автомашины выехали из одного пункта в противоположных направлениях одновременно со скоростями 60 км/ч и 80 км/ч. Какое расстояние будет между ними через 3 часа? Решите задачу двумя способами.

Solution 1: Relative Speed Approach

To find the distance between the two cars after 3 hours, we can use the concept of relative speed. The relative speed between two objects moving in opposite directions is the sum of their individual speeds.

In this case, the relative speed between the two cars is the sum of their speeds, which is 60 km/h + 80 km/h = 140 km/h.

To find the distance, we can use the formula: distance = speed * time.

Plugging in the values, we get: distance = 140 km/h * 3 h = 420 km.

Therefore, the distance between the two cars after 3 hours is 420 km.

Solution 2: Individual Distances Approach

Another way to solve this problem is by calculating the distances traveled by each car separately.

Car 1 travels at a speed of 60 km/h for 3 hours, so the distance traveled by Car 1 is 60 km/h * 3 h = 180 km.

Car 2 travels at a speed of 80 km/h for 3 hours, so the distance traveled by Car 2 is 80 km/h * 3 h = 240 km.

To find the distance between the two cars, we subtract the distance traveled by Car 1 from the distance traveled by Car 2: 240 km - 180 km = 60 km.

Therefore, the distance between the two cars after 3 hours is 60 km.

Conclusion

In conclusion, there are two ways to solve this problem. Using the relative speed approach, the distance between the two cars after 3 hours is 420 km. Using the individual distances approach, the distance between the two cars after 3 hours is 60 km.