Question

От двух пристаней одновременно навстречу друг другу вышли 2 теплохода. скорость первого 24км/час и он прошёл до встречи 96 км. 2 тепелоход прошёл до встречи на 24 км больше. какова его скорость?

Answer 1

1. 96 : 24 = 4 (часа) шел первый теплоход.
2. 96 + 24 = 120 (км.) прошел второй теплоход.
3. 120 : 4 = 30 (км./час) скорость второго теплохода.

Answer 2

Problem Statement

Два теплохода вышли одновременно навстречу друг другу из двух пристаней. Скорость первого теплохода составляет 24 км/ч, и он прошел до встречи 96 км. Второй теплоход прошел до встречи на 24 км больше. Какова скорость второго теплохода?

Solution

To find the speed of the second ship, we can set up a system of equations based on the given information.

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

The first ship traveled 96 km to the meeting point, and the second ship traveled 24 km more than that. So, the distance traveled by the second ship is 96 + 24 = 120 km.

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

Equation 1: Distance traveled by the first ship = Speed of the first ship × Time taken by the first ship Equation 2: Distance traveled by the second ship = Speed of the second ship × Time taken by the second ship

Since both ships started at the same time, the time taken by both ships will be the same.

From Equation 1, we have: 96 = 24 × Time

From Equation 2, we have: 120 = x × Time

Now, we can solve these two equations to find the value of x, which represents the speed of the second ship.

Dividing Equation 2 by Equation 1, we get: (120/96) = (x × Time) / (24 × Time)

Simplifying the equation, we have: 5/4 = x/24

Cross-multiplying, we find: 4x = 5 × 24

Simplifying further, we get: 4x = 120

Dividing both sides by 4, we find: x = 30

Therefore, the speed of the second ship is 30 km/h.

Answer

Скорость второго теплохода составляет 30 км/час.