Question

Два сухогруза вышли из порта, следуя один на север, другой на запад. Скорости их равны соответственно 12км/ч и 16 км/ч. Какое расстояние (в километрах) будет между ними через 1 час?

Answer 1

Через 1 час первый пройдет 12 км, второй 16 км. Но первый идет на север, а второй на запад, значит, чтобы найти расстояние между ними, нужно найти гипотенузу прямоугольного треугольника:

$x=\sqrt{12^{2}+16^{2}}$ 

х= 20км

Answer 2

Calculation of Distance between Two Ships

To calculate the distance between two ships after 1 hour, we need to determine the distance each ship has traveled in that time.

Ship 1 is traveling north at a speed of 12 km/h, and Ship 2 is traveling west at a speed of 16 km/h.

To calculate the distance traveled by each ship, we can use the formula:

Distance = Speed × Time

For Ship 1: Distance traveled by Ship 1 = 12 km/h × 1 hour = 12 km

For Ship 2: Distance traveled by Ship 2 = 16 km/h × 1 hour = 16 km

Therefore, after 1 hour, the distance between the two ships will be the hypotenuse of a right-angled triangle formed by the distances traveled by each ship.

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

Distance = √(Distance1^2 + Distance2^2)

Substituting the values: Distance = √(12^2 + 16^2) = √(144 + 256) = √400 = 20 km

Therefore, after 1 hour, the distance between the two ships will be 20 kilometers.

Please note that the above calculation assumes that the ships are traveling in a straight line without any changes in direction or speed.