Question

После встречи двух кораблей,один из них продолжил путь на юг,а другой на запад.Через два часа их расстояние между друг другом составляло 60км.Найти скорость каждого судна зная ,что одно из них ехало на 6км/ч быстрее.

Answer 1

Пусть скорость одного судна: х, тогда скорость другого судна: х + 6

х*2 + (х + 6)*2 = 60
4х + 12 = 60
х = 12 км/ч
х + 6 = 18 км/ч

Answer 2

Problem Analysis

We have two ships that meet and then continue on different paths. After two hours, the distance between them is 60 km. We need to find the speed of each ship, knowing that one of them was traveling 6 km/h faster.

Solution

Let's assume the speed of the slower ship is x km/h. Then the speed of the faster ship would be x + 6 km/h.

We can use the formula distance = speed × time to calculate the distance traveled by each ship in two hours.

For the slower ship: distance = x km/h × 2 h = 2x km

For the faster ship: distance = (x + 6) km/h × 2 h = 2(x + 6) km

According to the problem, the distance between the two ships after two hours is 60 km. Therefore, we can set up the following equation:

2x + 2(x + 6) = 60

Simplifying the equation: 2x + 2x + 12 = 60 4x + 12 = 60 4x = 60 - 12 4x = 48 x = 48 / 4 x = 12

So, the speed of the slower ship is 12 km/h, and the speed of the faster ship is 12 + 6 = 18 km/h.

Answer

The speed of the slower ship is 12 km/h, and the speed of the faster ship is 18 km/h.

Verification

Let's verify our solution by substituting the values back into the equation:

2(12) + 2(12 + 6) = 60 24 + 2(18) = 60 24 + 36 = 60 60 = 60

The equation is true, which confirms that our solution is correct.