Question

С пристани одновременно вышли два теплохода в противоположных направлениях.Собственная скорость теплохода,плывущего против течения реки 25целых 1/2.Собственная скость теплохода по течению реки 22целые 1/5.Скорость течения реки 2.За какое расстаяние между теплоходами будет через 1целую 2/3ч

Answer 1

◕‿◕◕‿◕** Решение во вложении **.◕‿◕◕‿◕

Answer 2

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Answer 3

To find the distance between the two ships after 1 hour and 2/3, we need to calculate the distance each ship has traveled in that time.

Let's start by calculating the distance traveled by the ship moving against the current. The ship's speed is 25 1/2 (or 51/2) relative to the riverbank, and the river's current is 2. So the effective speed of the ship against the current is 51/2 - 2 = 49/2.

To find the distance traveled by the ship against the current, we multiply the effective speed by the time: Distance = Speed * Time = (49/2) * (1 2/3) = (49/2) * (5/3) = (49 * 5) / (2 * 3) = 245/6.

Now let's calculate the distance traveled by the ship moving with the current. The ship's speed is 22 1/5 (or 45/5) relative to the riverbank, and the river's current is 2. So the effective speed of the ship with the current is 45/5 + 2 = 55/5.

To find the distance traveled by the ship with the current, we multiply the effective speed by the time: Distance = Speed * Time = (55/5) * (1 2/3) = (55/5) * (5/3) = (55 * 5) / (5 * 3) = 275/3.

Now we can find the distance between the two ships by subtracting the distance traveled by the ship moving with the current from the distance traveled by the ship moving against the current: Distance between the ships = Distance against the current - Distance with the current = 245/6 - 275/3.

To subtract these fractions, we need to find a common denominator: Distance between the ships = (245/6) - (275/3) = (245/6) - (550/6).

Now we can subtract the numerators and keep the common denominator: Distance between the ships = (245 - 550) / 6 = -305/6.

Therefore, the distance between the two ships after 1 hour and 2/3 will be -305/6 units.