Question

От двух пристаней навстречу друг другу одновременно отправились две лодки. Одна двигалась со скоростью 16км/ч, скорость другой была на 2 км/ч больше. Чему равно расстояние между пристанями, если лодки до встречи были в пути 6 ч?

Answer 1

1лод.-16км/ч

2лод.-?(16+2)

1)16+2=18(км)-скорость 2 лодки

2)16+18=34(км)-общая скорость

3)34*6=204(км)

Ответ:204 км расстояние между пристанями

Answer 2

Problem Analysis

We are given that two boats set off from two different piers towards each other simultaneously. One boat is traveling at a speed of 16 km/h, while the other boat is traveling at a speed 2 km/h faster. We need to determine the distance between the piers if the boats were in transit for 6 hours.

Solution

Let's denote the speed of the first boat as v km/h. According to the problem, the speed of the second boat is 2 km/h faster, so its speed is v + 2 km/h.

We know that the distance traveled by a boat is equal to the product of its speed and the time it traveled. Therefore, the distance traveled by the first boat is 16 * 6 = 96 km, and the distance traveled by the second boat is (v + 2) * 6 km.

Since the boats are traveling towards each other, the sum of the distances traveled by both boats will be equal to the distance between the piers. Therefore, we can set up the following equation:

96 + (v + 2) * 6 = d

where d represents the distance between the piers.

To find the value of d, we need to solve this equation for v.

Solving the Equation

Let's solve the equation step by step:

1. Distribute the 6 to the terms inside the parentheses: 96 + 6v + 12 = d

2. Combine like terms: 6v + 108 = d

3. Rearrange the equation to solve for d: d = 6v + 108

Now we have an equation that relates the distance between the piers (d) to the speed of the first boat (v).

Answer

The distance between the piers can be expressed as d = 6v + 108, where v is the speed of the first boat.

Please note that we don't have enough information to determine the exact value of d without knowing the value of v. If you have any additional information or if you can provide the value of v, I can help you calculate the distance between the piers.