Question

Решить задачу турист вышел из гостиницы и пошел к пристани со скоростью 60 метров в минуту через 15 минут ему осталось пройти 40 метров на каком расстоянии от пристани находится гостиница выразите расстояние в километрах и метрах

Answer 1

940 метров
0 километров

Answer 2

Problem Analysis

The problem describes a tourist leaving a hotel and walking towards a pier at a speed of 60 meters per minute. After walking for 15 minutes, the tourist realizes that only 40 meters are left to reach the pier. The task is to determine the distance from the pier to the hotel, expressing the distance in kilometers and meters.

Solution

Let's denote the distance from the hotel to the pier as x. The time it took the tourist to cover the distance from the hotel to the pier can be expressed as (x/60) minutes. After walking for 15 minutes, the remaining time is (15 - x/60) minutes. We are given that the remaining distance is 40 meters.

Using the formula distance = speed × time, we can set up the equation: (15 - x/60) × 60 = 40

Solving for x will give us the distance from the pier to the hotel.

Calculation

Let's solve the equation to find the value of x:

(15 - x/60) × 60 = 40

Expanding and simplifying: 900 - x = 40

Solving for x: x = 900 - 40 x = 860 meters

Conversion

Converting the distance to kilometers and meters: 1 kilometer = 1000 meters

So, 860 meters is equal to 0.86 kilometers.

Answer

Therefore, the distance from the pier to the hotel is 0.86 kilometers and 860 meters.