Question

Теплоход скорость которого в неподвижной воде равна 20км/ч проходит по течению реки до пункта назначения и после стоянки возвращается в исходный пункт. Найти расстояние пройденное теплоходом за весь рейс, если скорость течения реки равна 4 км/ч , стоянка длится 3 часа , а в исходный пункт теплоход возвращается через 13 часов после отплытия от него .

Answer 1

Ответ:

96

Объяснение:

$24 \times x = 16 \times (10 - x) \\ x = 4 \\ = > s = 4 \times 24 = 96$

Answer 2

#### Calculation of Distance Traveled by the Boat To calculate the distance traveled by the boat during the entire trip, we need to consider the speed of the boat and the speed of the river current, as well as the duration of the stoppage. Let's break down the problem step by step: 1. Speed of the boat in still water: 20 km/h. 2. Speed of the river current: 4 km/h. 3. Duration of the stoppage: 3 hours. 4. Time taken to return to the starting point: 13 hours after departure. To find the distance traveled by the boat during the entire trip, we can divide the journey into three parts: 1. Part 1: From the starting point to the destination. 2. Part 2: The duration of the stoppage at the destination. 3. Part 3: From the destination back to the starting point. Let's calculate each part separately: **Part 1: From the starting point to the destination** The boat's speed in still water is 20 km/h, and the river current is flowing at a speed of 4 km/h. When the boat is moving upstream (against the current), its effective speed is reduced by the speed of the current. Therefore, the boat's effective speed in this case is 20 km/h - 4 km/h = 16 km/h. To calculate the distance traveled during this part, we need to know the time taken. Let's assume the time taken is 't' hours. Distance = Speed × Time Distance = 16 km/h × t hours **Part 2: The duration of the stoppage at the destination** The boat remains stationary during the stoppage, so the distance traveled during this time is 0 km. **Part 3: From the destination back to the starting point** When the boat is moving downstream (with the current), the speed of the current aids the boat's movement. Therefore, the boat's effective speed in this case is the sum of its speed in still water and the speed of the current: 20 km/h + 4 km/h = 24 km/h. To calculate the distance traveled during this part, we need to know the time taken. The boat returns to the starting point 13 hours after departure, which includes the 3-hour stoppage. Therefore, the time taken for this part is 13 hours - 3 hours = 10 hours. Distance = Speed × Time Distance = 24 km/h × 10 hours Now, let's calculate the total distance traveled by summing up the distances of each part: Total Distance = Distance of Part 1 + Distance of Part 2 + Distance of Part 3 Total Distance = (16 km/h × t hours) + 0 km + (24 km/h × 10 hours) Please provide the value of 't' (the time taken from the starting point to the destination) to calculate the total distance traveled by the boat during the entire trip.