
Катер плыл по озеру 2,6 часа и по течению реки 3,5 часа.Какой путь он проделал,если его собственная
скорость 20км/ч ,а скорось течения реки 2,5 км / ч. помогите пожалуйста срочно нужно

Ответы на вопрос







Calculation of Distance Traveled
To calculate the distance traveled by the boat, we need to consider the time spent traveling on the lake and the time spent traveling with the river's current.
Let's break down the problem:
- Time spent traveling on the lake: 2.6 hours - Time spent traveling with the river's current: 3.5 hours - Boat's own speed: 20 km/h - Speed of the river's current: 2.5 km/h
To find the distance traveled on the lake, we can use the formula:
Distance = Speed × Time
For the time spent traveling on the lake, the boat's speed is its own speed since there is no current affecting it. Therefore, the distance traveled on the lake is:
Distance on lake = Boat's own speed × Time on lake
Substituting the given values:
Distance on lake = 20 km/h × 2.6 hours
To find the distance traveled with the river's current, we need to consider the combined speed of the boat and the current. The effective speed is the sum of the boat's own speed and the speed of the current. Therefore, the distance traveled with the river's current is:
Distance with current = (Boat's own speed + Speed of current) × Time with current
Substituting the given values:
Distance with current = (20 km/h + 2.5 km/h) × 3.5 hours
Now, we can calculate the total distance traveled by adding the distances on the lake and with the river's current:
Total distance = Distance on lake + Distance with current
Substituting the calculated values:
Total distance = (20 km/h × 2.6 hours) + [(20 km/h + 2.5 km/h) × 3.5 hours]
Let's calculate the values:
Distance on lake = 20 km/h × 2.6 hours = 52 km
Distance with current = (20 km/h + 2.5 km/h) × 3.5 hours = 82.5 km
Total distance = 52 km + 82.5 km = 134.5 km
Therefore, the boat traveled a total distance of 134.5 km.


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