Question

Собственная скорость лодки 4/9 от скорости катера. Скорость катера по течению реки на 16 км/ч больше скорости лодки движущейся по течению реки. Найдите собственную скорость картера

Answer 1

Пфффффффффффф..... легкотня это очень легко 16разделить на 4 и умножить на 9

Answer 2

Problem Analysis

We are given that the boat's speed is 4/9 of the speed of the catamaran. The speed of the catamaran relative to the river current is 16 km/h faster than the speed of the boat relative to the river current. We need to find the speed of the catamaran.

Solution

Let's assume the speed of the boat relative to the river current is x km/h.

According to the given information, the speed of the catamaran relative to the river current is x + 16 km/h.

We are also given that the speed of the boat is 4/9 of the speed of the catamaran. So we can write the equation:

(4/9) * (x + 16) = x

To solve this equation, we can multiply both sides by 9 to get rid of the fraction:

4 * (x + 16) = 9 * x

Expanding the equation:

4x + 64 = 9x

Now, let's solve for x:

64 = 9x - 4x

64 = 5x

x = 64 / 5

x = 12.8

Therefore, the speed of the boat relative to the river current is 12.8 km/h.

To find the speed of the catamaran, we can substitute this value back into the equation:

Speed of catamaran = x + 16 = 12.8 + 16 = 28.8 km/h

So, the speed of the catamaran is 28.8 km/h.

Answer

The speed of the catamaran is 28.8 km/h.