Question

Теплоход проходит по течению реки до пункта назначения и после стоянки возвращается в пункт отправления.Скорость течения реки 1,5км/ч,скорость теплохода в неподвижной воде равна 13,5км/ч,стоянка длится 6 часов,в пункт оправления возвращается через 33 часа поле отплытия из него.Сколько км проплыл теплоход вообще?

Answer 1

Пусть расстояние между пунктами назначения x. Тогда количество часов, затраченное на движение к второму пункту назначения равно (x/(13,5+1,5)), а обратно (x/(13,5-1,5)), а так же была стоянка 6 ч. Составим уравнение.
$\frac{x}{15}$+$\frac{x}{12}$+6=33 |*60
4x+5x+360=1980
9x=1980-360
9x=1620
x=1620:9
x=180
Значит, расстояние между пунктами 180 км.
НО нужно найти общее расстояние, которое он проехал( а сделал он это два раза)
Значит,
180*2=360
ОТВЕТ: 360 КМ

Answer 2

Ой, только сейчас заметила, что 6 часов он был на стоянке. решение такое же, но из 33 надо вычесть 6

Answer 3

Calculation of the Total Distance Traveled by the Ship

To calculate the total distance traveled by the ship, we need to consider the different segments of the journey.

1. Segment 1: From the departure point to the destination point - The speed of the ship in still water is 13.5 km/h. - The speed of the river current is 1.5 km/h. - The ship travels at the combined speed of the ship and the current when going downstream. - The distance covered in this segment can be calculated using the formula: distance = speed * time. - The time taken to reach the destination point can be calculated by dividing the distance by the combined speed of the ship and the current. - Let's denote the time taken for this segment as t1.

2. Segment 2: The duration of the stop at the destination point - The ship stays at the destination point for 6 hours. - During this time, the ship does not cover any distance.

3. Segment 3: From the destination point back to the departure point - The ship travels at the combined speed of the ship and the current when going upstream. - The time taken to return to the departure point can be calculated using the same formula: distance = speed * time. - Let's denote the time taken for this segment as t2.

4. Segment 4: The duration of the return journey from the destination point to the departure point - The ship takes 33 hours to return to the departure point. - During this time, the ship does not cover any distance.

To calculate the total distance traveled by the ship, we need to add the distances covered in Segment 1 and Segment 3.

Calculation of the Distance Covered in Segment 1

To calculate the distance covered in Segment 1, we can use the formula: distance = speed * time.

The speed of the ship in still water is 13.5 km/h and the speed of the river current is 1.5 km/h.

The time taken for Segment 1 can be calculated by dividing the distance by the combined speed of the ship and the current.

Let's denote the distance covered in Segment 1 as d1.

Using the given information, we can calculate the distance covered in Segment 1 as follows:

d1 = (13.5 km/h + 1.5 km/h) * t1

Calculation of the Distance Covered in Segment 3

To calculate the distance covered in Segment 3, we can use the same formula: distance = speed * time.

The time taken for Segment 3 can be calculated by dividing the distance by the combined speed of the ship and the current.

Let's denote the distance covered in Segment 3 as d3.

Using the given information, we can calculate the distance covered in Segment 3 as follows:

d3 = (13.5 km/h - 1.5 km/h) * t2

Calculation of the Total Distance Traveled

To calculate the total distance traveled by the ship, we need to add the distances covered in Segment 1 and Segment 3.

Total distance = d1 + d3

Now, let's calculate the values of t1 and t2.

From the given information, we know that the ship returns to the departure point after 33 hours.

Since the ship stays at the destination point for 6 hours the time taken for Segment 3 (t2) can be calculated as:

t2 = 33 hours - 6 hours

To calculate the time taken for Segment 1 (t1), we need to subtract the time taken for Segment 3 (t2) from the total time taken for the journey.

t1 = Total time - t2 - 6 hours

Using the given information, we can calculate the values of t1 and t2 as follows:

t2 = 33 hours - 6 hours = 27 hours

t1 = Total time - t2 - 6 hours = 33 hours - 27 hours - 6 hours = 0 hours

Since the time taken for Segment 1 (t1) is 0 hours, it means that the ship did not cover any distance in this segment.

Therefore, the total distance traveled by the ship is equal to the distance covered in Segment 3 (d3).

Using the calculated value of t2 and the formula for distance covered in Segment 3, we can calculate the total distance traveled by the ship as follows:

Total distance = d3 = (13.5 km/h - 1.5 km/h) * t2

Substituting the value of t2:

Total distance = (13.5 km/h - 1.5 km/h) * 27 hours

Now, let's calculate the total distance traveled by the ship.

Calculation:

Total distance = (13.5 km/h - 1.5 km/h) * 27 hours

Total distance = 12 km/h * 27 hours

Total distance = 324 km

Therefore, the ship traveled a total distance of 324 km.