Question

два теплохода вышли из порта, следуя один на север, другой на восток. Скорость их равны соответственно 16 км в час и 30 км в час. Какое расстояние (в километрах) будет между ними через 2 часа? Помогите плиззз!!! Срочно надо!!!

Answer 1

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Answer 2

Problem Analysis

Two ships leave a port, one heading north and the other heading east. The speeds of the ships are given as 16 km/h and 30 km/h, respectively. We need to find the distance between the two ships after 2 hours.

Solution

To find the distance between the two ships after 2 hours, we can use the formula for distance: distance = speed × time.

Let's calculate the distances traveled by each ship after 2 hours.

Ship 1 (heading north): - Speed: 16 km/h - Time: 2 hours - Distance = 16 km/h × 2 hours = 32 km

Ship 2 (heading east): - Speed: 30 km/h - Time: 2 hours - Distance = 30 km/h × 2 hours = 60 km

Now, we can use the Pythagorean theorem to find the distance between the two ships. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the distance between the two ships forms the hypotenuse of a right triangle, with the distances traveled by each ship forming the other two sides.

Using the Pythagorean theorem, we can calculate the distance between the two ships:

distance = √(32^2 + 60^2) km

Calculating this, we get:

distance ≈ 68.08 km

Therefore, the distance between the two ships after 2 hours is approximately 68.08 kilometers.

Answer

The distance between the two ships after 2 hours is approximately 68.08 kilometers.