Question

Два парохода вышли из порта, следуя один на север, другой на запад. скорости их соответственно равны 28км/ч и 21 км/ч. какое расстояние ( в километрах) будет между ними через 2 часа?

Answer 1

На север за 2 часа прошел 28*2=56 км/ч
на запад за 2 часа 21*2=42 км/ч
расстояние между ними будет гипотенуза треугольника (во вложении рисунок)
по Пифагору
56²+42²=путь²
путь²=3136+1764
путь²=4900
путь=70 км

Answer 2

Calculation of Distance between Two Ships

To calculate the distance between two ships after 2 hours, we need to determine the distance each ship has traveled in that time.

Ship 1 is traveling north at a speed of 28 km/h, and Ship 2 is traveling west at a speed of 21 km/h.

The distance traveled by Ship 1 after 2 hours can be calculated as follows: Distance1 = Speed1 * Time = 28 km/h * 2 hours = 56 km

The distance traveled by Ship 2 after 2 hours can be calculated as follows: Distance2 = Speed2 * Time = 21 km/h * 2 hours = 42 km

Therefore, after 2 hours, the distance between the two ships will be the hypotenuse of a right-angled triangle formed by the distances traveled by each ship. We can use the Pythagorean theorem to calculate this distance.

The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).

In this case, the distances traveled by each ship represent the lengths of the two sides of the triangle, and the distance between the ships represents the length of the hypotenuse.

Using the Pythagorean theorem, we can calculate the distance between the two ships after 2 hours as follows:

Distance = √(Distance1^2 + Distance2^2) Distance = √(56^2 + 42^2) Distance = √(3136 + 1764) Distance = √4900 Distance = 70 km

Therefore, after 2 hours, the distance between the two ships will be 70 kilometers.

Please note that the above calculation assumes that the ships are traveling at a constant speed and in a straight line. It also assumes that there are no external factors such as wind or currents affecting the ships' movements.