Question

Решите задачу.Из Москвы и Ташкента одновременно на встречу друг другу вышли поезда и встретились через 45ч.Поезд из Ташкента проходит в среднем за 4 ч 132 км, а скорость поезда из Москвы на 9 км/ч больше.Найди расстояние между Москвой и Ташкентом.

Answer 1

а) 132/4=33км/ч-ск поезда из Ташкента; 33+9=42км/ч-ск из Москвы; (33+42)*45=3375км-расстояние; б) 3375/45=75км-проходят оба поезда за час; 132/4=33-км/ч-скорость из Ташкента; 75-33=42км/ч-скорость из Москвы

Answer 2

Problem Analysis

To solve this problem, we need to find the distance between Moscow and Tashkent. We are given that the trains from Moscow and Tashkent meet after 45 hours. Additionally, we know that the train from Tashkent travels an average speed of 132 km in 4 hours, while the train from Moscow travels at a speed 9 km/h faster.

Solution

Let's assume the speed of the train from Moscow is x km/h. Since the train from Tashkent travels at a speed of 132 km in 4 hours, we can calculate the speed of the train from Moscow as (132 + 9) km/h.

Now, let's calculate the distance between Moscow and Tashkent using the formula: distance = speed × time.

The time taken by both trains to meet is given as 45 hours. Therefore, the distance between Moscow and Tashkent is:

Distance = (speed of the train from Moscow + speed of the train from Tashkent) × time

Distance = ((132 + 9) + 132) × 45

Now, let's calculate the distance.

Calculation

Distance = (141 + 132) × 45

Distance = 273 × 45

Distance = 12,285 km

Therefore, the distance between Moscow and Tashkent is 12,285 km.

Answer

The distance between Moscow and Tashkent is 12,285 km.