Question

Задачи на совместную работу. Урок 4 Плот по течению реки из пункта A доплывет до пункта B за 16 часов. Катер из пункта B доплывет до пункта A за 6 часов. За какое время катер проплывет такое же расстояние по озеру? Ответ: часа. Назад Проверить

Answer 1

Ответ: проверено онлайн мектеп

Пошаговое объяснение:

4 4/11

Answer 2

Ответ:

четыре целых четыре одиннанадцатых

Пошаговое объяснение:

точно говорю

Answer 3

Problem Analysis

In this problem, we are given that a boat takes 16 hours to travel from point A to point B along a river, and a motorboat takes 6 hours to travel from point B to point A along the same river. We need to determine how long it will take for the motorboat to travel the same distance on a lake.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed of two objects moving in the same direction is the difference between their individual speeds. When two objects are moving in opposite directions, their relative speed is the sum of their individual speeds.

Let's assume that the boat's speed is 'b' and the motorboat's speed is 'm'. We are given that the boat takes 16 hours to travel from point A to point B, so the distance between A and B can be calculated as 16b. Similarly, the distance between B and A can be calculated as 6m.

Since the boat and the motorboat are traveling the same distance, we can equate the two distances:

16b = 6m

To find the time it takes for the motorboat to travel the same distance on the lake, we need to calculate the time using the distance and speed of the motorboat. Let's assume it takes 't' hours for the motorboat to travel the distance on the lake. The distance traveled by the motorboat can be calculated as 't * m'.

Now we can set up an equation using the distances and speeds:

16b = t * m

We can solve this equation to find the value of 't'.

Calculation

To find the value of 't', we need to know the values of 'b' and 'm'. Unfortunately, the problem statement does not provide this information. Without this information, we cannot calculate the exact value of 't'.

However, if we assume that the boat and the motorboat have constant speeds, we can still solve the equation using a ratio. Let's assume that the boat's speed is twice the motorboat's speed:

b = 2m

Substituting this value into the equation, we get:

16(2m) = t * m

Simplifying the equation, we have:

32m = t * m

Dividing both sides of the equation by 'm', we get:

32 = t

Therefore, if the boat's speed is twice the motorboat's speed, the motorboat will take 32 hours to travel the same distance on the lake.

Answer

If the boat's speed is twice the motorboat's speed, the motorboat will take 32 hours to travel the same distance on the lake.

Please note that this answer is based on the assumption that the boat's speed is twice the motorboat's speed. If the problem statement provides the actual values of 'b' and 'm', the calculation can be done using those values to find the exact time.