
Теплоход проходит за 15 часов против течения столько же сколько за 13 часов по течению Найдите
скорость течения если собственная скорость теплохода 70 км ч. Помогите плизззззззз

Ответы на вопрос




Problem Analysis
We are given that a boat takes 15 hours to travel a certain distance against the current, and the same boat takes 13 hours to travel the same distance with the current. We are also given that the boat's speed is 70 km/h. We need to find the speed of the current.Solution
Let's assume the speed of the current is x km/h.When the boat is traveling against the current, its effective speed is reduced by the speed of the current. Therefore, the boat's effective speed against the current is (70 - x) km/h.
Similarly, when the boat is traveling with the current, its effective speed is increased by the speed of the current. Therefore, the boat's effective speed with the current is (70 + x) km/h.
We can use the formula speed = distance / time to calculate the distance traveled by the boat in both cases.
When the boat is traveling against the current: distance = (70 - x) km/h * 15 hours
When the boat is traveling with the current: distance = (70 + x) km/h * 13 hours
Since the distance traveled is the same in both cases, we can set up the following equation:
(70 - x) km/h * 15 hours = (70 + x) km/h * 13 hours
Now, let's solve this equation to find the value of x.
Solving the Equation
Expanding the equation, we get:1050 km - 15x km/h = 910 km + 13x km/h
Combining like terms, we have:
2x km/h = 140 km
Dividing both sides by 2, we get:
x = 70 km/h
Answer
The speed of the current is 70 km/h.Please let me know if you need any further assistance!


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