Question

Из точки A в точку Б выехал автобус , через 1.5 часа выехала машина и прибыли они одинаково , скорость автобуса 60 км/ч , а автомобиля 80 км/ч найдите расстояние

Answer 1

$S:60=S:80+1.5 \\ \frac{S}{60}- \frac{S}{80}=1.5 \\ \\ \frac{4S-3S}{240}=1.5 \\ \\ \frac{S}{240}=1.5 \\ S=1.5*240 \\ S=360$
Ответ: расстояние между городами 360 км

Answer 2

Problem Analysis

We are given that a bus and a car both travel from point A to point B. The bus starts 1.5 hours before the car and they arrive at the destination at the same time. The speed of the bus is 60 km/h and the speed of the car is 80 km/h. We need to find the distance between points A and B.

Solution

Let's assume that the distance between points A and B is d km.

We know that the time taken by the bus to travel from A to B is given by: time taken by bus = distance / speed of bus

Similarly, the time taken by the car to travel from A to B is given by: time taken by car = distance / speed of car

Given that the bus starts 1.5 hours before the car and they arrive at the same time, we can write the equation: time taken by bus = time taken by car + 1.5 hours

Substituting the values, we get: distance / 60 = distance / 80 + 1.5

To solve this equation, we can multiply both sides by 240 (the least common multiple of 60 and 80) to eliminate the denominators: 4 * distance = 3 * distance + 360

Simplifying the equation, we get: distance = 360 km

Therefore, the distance between points A and B is 360 km.

Answer

The distance between points A and B is 360 km.