Question

Катер прошел расстояние между двумя портами за 3 часа, а теплоход — за 5 часов. Найти скорость катера, если она на 16 км/час больше чем скорость теплохода Ответ: _______________

Answer 1

Ответ:

24 км/час

Объяснение:

Пусть скорость катера х, а теплохода у.

х-у=16

х=16+у

Расстояние между портами рано 5у и равно 3*(у+16)

5у=3у+48

2у=48

у=24 км/час

Answer 2

Problem Analysis

We are given that a boat traveled a certain distance between two ports in 3 hours, while a ship traveled the same distance in 5 hours. We need to find the speed of the boat, given that it is 16 km/h faster than the speed of the ship.

Solution

Let's assume the speed of the ship is x km/h. According to the problem, the speed of the boat is 16 km/h faster than the speed of the ship, so the speed of the boat is x + 16 km/h.

We can use the formula speed = distance / time to find the speed of the boat and the ship.

Let's denote the distance between the two ports as d km.

The speed of the boat is given by speed of boat = distance / time. Substituting the values, we have:

x + 16 = d / 3 (Equation 1)

Similarly, the speed of the ship is given by speed of ship = distance / time. Substituting the values, we have:

x = d / 5 (Equation 2)

We have two equations with two unknowns (x and d). We can solve these equations simultaneously to find the values of x and d.

To eliminate the variable d, we can multiply Equation 1 by 5 and Equation 2 by 3:

5(x + 16) = d (Equation 3)

3x = d (Equation 4)

Now we can equate Equation 3 and Equation 4:

5(x + 16) = 3x

Simplifying the equation:

5x + 80 = 3x

Subtracting 3x from both sides:

2x + 80 = 0

Subtracting 80 from both sides:

2x = -80

Dividing both sides by 2:

x = -40

Since speed cannot be negative, we discard this solution.

Therefore, there is no valid solution for this problem.

Answer

There is no valid solution for this problem.