Question

помогите решить задачу одновременно от двух пристаней навстречу к друг другу отошли две моторные лодки с одинаковыми скоростями через 3 часа они встретились лодка которая плыла по течению прошла на 23,4 км больше чем другая лодка вычисли скорость течения реки.​

Answer 1

Ответ:

3,9 км/ч

Объяснение:

пусть в-собственная скорость лодки, а х- скорость течения.

Первая лодка пролыла 3в+3х, вторая 3в-3х, разность 6х=23,4

х=23,4:6=3,9 км/ч

Answer 2

Пусть х км/ч - собственная скорость лодки; у км/ч - скорость течения, тогда (х + у) км/ч - скорость лодки по течению; (х - у) км/ч - скорость лодки против течения. Уравнение:

(х + у) · 3 - (х - у) · 3 = 23,4

3х + 3у - 3х + 3у = 23,4

(3х - 3х) + (3у + 3у) = 23,4

6у = 23,4

у = 23,4 : 6

у = 3,9

Ответ: 3,9 км/ч - скорость течения реки.

Answer 3

Problem Analysis

We have two motorboats that start from opposite ends of two piers and meet after 3 hours. One of the boats, which is traveling downstream, covers 23.4 km more than the other boat. We need to calculate the speed of the river's current.

Solution

Let's assume: - The speed of the first boat is x km/h. - The speed of the second boat is also x km/h. - The speed of the river's current is y km/h.

Since the boats are traveling towards each other, their relative speed is the sum of their individual speeds. Therefore, the relative speed of the boats is 2x km/h.

We know that the boats meet after 3 hours and that one of the boats, which is traveling downstream, covers 23.4 km more than the other boat. This means that the downstream boat traveled an additional distance equal to the speed of the river's current multiplied by the time of 3 hours.

Using the formula distance = speed × time, we can set up the following equation:

Distance covered by the downstream boat = Distance covered by the upstream boat + Distance due to the river's current

The distance covered by the downstream boat is (x + y) × 3 km. The distance covered by the upstream boat is (x - y) × 3 km. The additional distance covered by the downstream boat due to the river's current is 23.4 km.

Setting up the equation:

(x + y) × 3 = (x - y) × 3 + 23.4

Simplifying the equation:

3x + 3y = 3x - 3y + 23.4

The 3x terms cancel out, leaving us with:

6y = 23.4

Solving for y:

y = 23.4 / 6

Calculating the value of y:

y = 3.9 km/h

Therefore, the speed of the river's current is 3.9 km/h.