Question

Из города в поселок выехал автобус со скоростью 60 км/ч. Через 30 минут за ним выехал автомобиль со скоростью 80 км/ч. Найдите расстояние между городом и поселком, если автомобиль и автобус прибыли одновременно

Answer 1

60X = 80 *( X - 0.5 )
60X = 80X - 40 
20X = 40
X = 2 ( часа)
Расстояние между поселками
60 * 2 = 120 ( км)

Answer 2

Составить систему. 30 минут-это 0,5 часа. Получится 120 км.

Answer 3

Problem Analysis

We are given that a bus travels from a city to a village at a speed of 60 km/h, and after 30 minutes, a car starts from the same city to the same village at a speed of 80 km/h. We need to find the distance between the city and the village when the car and the bus arrive at the same time.

Solution

To find the distance between the city and the village, we can use the formula:

Distance = Speed × Time

Let's calculate the time it takes for the car to catch up with the bus.

The bus has a head start of 30 minutes, which is equivalent to 0.5 hours. The car will catch up with the bus when the distance traveled by the car is equal to the distance traveled by the bus plus the head start distance.

Let's assume the distance between the city and the village is D.

The time taken by the car to catch up with the bus is given by:

Time taken = Distance / Car's speed

The time taken by the bus to travel the distance is given by:

Time taken = Distance / Bus's speed

Since the car and the bus arrive at the same time, we can equate the two time expressions:

Distance / Car's speed = Distance / Bus's speed

Simplifying the equation, we get:

Distance = (Car's speed × Bus's speed) / (Car's speed - Bus's speed)

Substituting the given values, we have:

Distance = (80 km/h × 60 km/h) / (80 km/h - 60 km/h)

Now, let's calculate the distance.

Calculation

Using the formula, we can calculate the distance between the city and the village:

Distance = (80 km/h × 60 km/h) / (80 km/h - 60 km/h)

Simplifying the expression:

Distance = (4800 km²/h²) / (20 km/h)

Distance = 240 km

Therefore, the distance between the city and the village is 240 kilometers.

Answer

The distance between the city and the village, when the car and the bus arrive at the same time, is 240 kilometers.