Question

Две прямые дороги пересекаются под прямым углом. С перекрестка по разным дорогам одновременно тронулись 2 машины со скоростями 80км в час и 60км в час через сколько времени расстояние между ними будет 100 км?

Answer 1

Через 1 час. Тогда 1 машина пройдет 60 км, вторая 80 км и по свойству египетского треугольника между ними будет 100 км.

Answer 2

Problem Analysis

We have two cars starting simultaneously from a point where two straight roads intersect at a right angle. The cars have speeds of 80 km/h and 60 km/h, respectively. We need to determine the time it takes for the distance between the two cars to be 100 km.

Solution

To solve this problem, we can use the formula: distance = speed × time. We'll calculate the time it takes for each car to travel a distance of 100 km and then find the difference in their times.

Let's calculate the time it takes for the first car to travel 100 km: - Speed of the first car = 80 km/h - Distance traveled by the first car = 100 km - Time taken by the first car = distance / speed = 100 km / 80 km/h = 1.25 hours

Now, let's calculate the time it takes for the second car to travel 100 km: - Speed of the second car = 60 km/h - Distance traveled by the second car = 100 km - Time taken by the second car = distance / speed = 100 km / 60 km/h ≈ 1.67 hours

The difference in time between the two cars is: - Time taken by the first car = 1.25 hours - Time taken by the second car = 1.67 hours - Difference in time = 1.67 hours - 1.25 hours = 0.42 hours

Therefore, the two cars will be 100 km apart after approximately 0.42 hours.

Please note that the above calculations assume constant speeds for the cars and do not take into account any factors such as acceleration, deceleration, or changes in direction.

Answer

The two cars will be approximately 100 km apart after approximately 0.42 hours.