
Теплоход плыл 1,8 часов против течения реки, и 2,6 часов по течению. Какой путь преодолел теплоход
за всё время движения, если скорость течения равна 2,5 км в час, а собственная скорость теплохода 35,5 км ч?

Ответы на вопрос




2,6*38=98,8 км путь по течению
35,5-2,5=33 км/ч скорость против течения
1,8*33=59,4 км путь против течения
98,8+59,4=158,2 км путь за всё время движения



Problem Analysis
We are given the following information: - The boat traveled against the current for 1.8 hours. - The boat traveled with the current for 2.6 hours. - The speed of the current is 2.5 km/h. - The speed of the boat is 35.5 km/h.
We need to determine the total distance traveled by the boat.
Calculation
To calculate the distance traveled by the boat, we need to consider the time spent traveling against the current and with the current separately.
Let's calculate the distance traveled against the current first.
The formula to calculate distance is: distance = speed × time.
The speed of the boat against the current is the difference between the boat's speed and the speed of the current: 35.5 km/h - 2.5 km/h = 33 km/h.
Using this speed, we can calculate the distance traveled against the current: distance against current = speed against current × time against current.
Substituting the values, we get: distance against current = 33 km/h × 1.8 hours.
Now, let's calculate the distance traveled with the current.
The speed of the boat with the current is the sum of the boat's speed and the speed of the current: 35.5 km/h + 2.5 km/h = 38 km/h.
Using this speed, we can calculate the distance traveled with the current: distance with current = speed with current × time with current.
Substituting the values, we get: distance with current = 38 km/h × 2.6 hours.
Finally, to find the total distance traveled by the boat, we add the distances traveled against the current and with the current: total distance = distance against current + distance with current.
Let's calculate the total distance.
Calculation
The distance traveled against the current is: 33 km/h × 1.8 hours = 59.4 km.
The distance traveled with the current is: 38 km/h × 2.6 hours = 98.8 km.
Therefore, the total distance traveled by the boat is: 59.4 km + 98.8 km = 158.2 km.
Answer
The boat traveled a total distance of 158.2 km during the entire journey.
Please let me know if I can help you with anything else.


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