Question

Вычислить путь S, пройденный лодкой, если ее скорость в стоячей воде 12 км/ч, скорость течения реки 3 км/ч, время движения по озеру 4ч, а против течения реки – 2ч. Запишите решение в 1 действие.

Answer 1

Ответ:

s1=v*t1 – Путь по озеру.

s2=t2*v-v1 – Путь по реке.

S=S1+S2 – Весь путь.

Answer 2

Calculation of the Distance Traveled by the Boat

To calculate the distance traveled by the boat, we need to consider the different segments of the journey and the respective speeds.

1. Speed in Standing Water: The boat's speed in standing water is given as 12 km/h. 2. Speed of River Current: The speed of the river current is given as 3 km/h. 3. Time of Travel on the Lake: The boat traveled for 4 hours on the lake. 4. Time of Travel Against the River Current: The boat traveled for 2 hours against the river current.

To find the distance traveled by the boat, we can use the formula:

Distance = Speed × Time

Let's calculate the distance traveled in each segment and then sum them up to get the total distance.

1. Distance Traveled on the Lake: - Speed in standing water: 12 km/h - Time: 4 hours - Distance = 12 km/h × 4 hours = 48 km

2. Distance Traveled Against the River Current: - Speed in standing water: 12 km/h - Speed of the river current: 3 km/h - Time: 2 hours - Effective speed against the current = Speed in standing water - Speed of the river current = 12 km/h - 3 km/h = 9 km/h - Distance = 9 km/h × 2 hours = 18 km

Now, let's calculate the total distance traveled by summing up the distances from both segments:

Total Distance = Distance Traveled on the Lake + Distance Traveled Against the River Current = 48 km + 18 km = 66 km

Therefore, the boat traveled a total distance of 66 km.

Note: The sources provided did not directly provide the solution to the problem. However, the solution is a straightforward application of the formula for distance calculation based on speed and time.