Question

выполни к задаче схематический рисунок и реши её.от пристани одновременно в противоположных направлениях вышли 2 катера. скорость одного 13 км\ч, скорость другого 90 км\ч. через сколько часов между ними будет расстояние 54 км.

Answer 1

13+14=27
54;27=2
ответ 2 часа

Answer 2

1) 13+14=27(км)-за час вместе
2)54:27=2(ч)
Ответ: через 2 часа

Answer 3

Problem Analysis

We are given that two boats set out from a pier in opposite directions. The speed of one boat is 13 km/h, and the speed of the other boat is 90 km/h. We need to determine how many hours it will take for the distance between the two boats to be 54 km.

Solution

Let's assume that the time it takes for the boats to meet is t hours. During this time, the first boat will travel a distance of 13t km, and the second boat will travel a distance of 90t km. Since they are moving in opposite directions, the total distance between them will be the sum of these distances.

According to the problem, the total distance between the two boats is 54 km. Therefore, we can set up the following equation:

13t + 90t = 54

Simplifying the equation, we get:

103t = 54

To solve for t, we divide both sides of the equation by 103:

t = 54 / 103

Now, we can calculate the value of t:

t ≈ 0.5243 hours

Therefore, it will take approximately 0.5243 hours for the distance between the two boats to be 54 km.

Schematic Diagram

Here is a schematic diagram to illustrate the situation:

Pier
 |
 |<--- 13t km --->|<--- 90t km --->|
Boat 1           Meeting Point         Boat 2

Answer

It will take approximately 0.5243 hours for the distance between the two boats to be 54 km.

Please note that the solution is approximate due to rounding the value of t.