Question

От двух пристаней, удаленных друг от друга на 120 километров одновременно в противоположных направлениях отплыли катер и моторная лодка. Через 3 часа расстояние между ними стало равно 270км.С какой скоростью плыла лодка ,если скорость катера равна 34 км/ч?

Answer 1

Скорость лодки 16 км./ч.
1) 270 - 120 = 150
2) 34 × 3 = 102
3) 150 - 102 = 48
4) 48 ÷ 3 = 16 км/ч

Answer 2

270-120=150км-расстояние пройденное ложкой и катером за 3 часа. 34*3=102 км прошёл катер. 150-102= 48 км прошла лодка. 48/3=16 км в час: скорость лодки

Answer 3

Problem Analysis

We are given that a boat and a motorboat set sail simultaneously from two piers that are 120 kilometers apart in opposite directions. After 3 hours, the distance between them is 270 kilometers. We need to determine the speed of the motorboat, given that the speed of the boat is 34 km/h.

Solution

Let's assume the speed of the motorboat is x km/h.

After 3 hours, the boat has traveled a distance of 34 * 3 = 102 kilometers.

Similarly, the motorboat has traveled a distance of x * 3 kilometers.

The total distance between the boat and the motorboat after 3 hours is 102 + x * 3 kilometers.

According to the problem, this distance is equal to 270 kilometers.

Therefore, we can set up the following equation:

102 + x * 3 = 270

To solve for x, we can rearrange the equation:

x * 3 = 270 - 102

x * 3 = 168

x = 168 / 3

x = 56

Therefore, the speed of the motorboat is 56 km/h.

Answer

The motorboat was traveling at a speed of 56 km/h.

Explanation

The boat and the motorboat set sail simultaneously from two piers that are 120 kilometers apart in opposite directions. After 3 hours, the distance between them is 270 kilometers. To find the speed of the motorboat, we can set up an equation using the distance formula. By solving the equation, we find that the speed of the motorboat is 56 km/h