Question

Из одного города одновременно в противоположных направлениях выехали два автомобиля скорость первого автомобиля 82 км в час а скорость второго на 14 км час меньше Через какое время расстояние между ними будет 600 км

Answer 1

82-14=68 (км/час) скорость второго

Answer 2

82-14=68 км ч скор . 2 авто
82+68=150 км ч вместе
600:150=4 ч
ответ через четыре часа

Answer 3

Problem Analysis

We are given that two cars start from the same city simultaneously in opposite directions. The speed of the first car is 82 km/h, and the speed of the second car is 14 km/h less than the first car. We need to find the time it takes for the distance between them to be 600 km.

Calculation

Let's calculate the time it takes for the distance between the two cars to be 600 km.

Let's assume the time taken by both cars is t hours.

The distance covered by the first car in t hours is given by: Distance1 = Speed1 * Time = 82 * t

The distance covered by the second car in t hours is given by: Distance2 = Speed2 * Time = (82 - 14) * t

According to the problem, the sum of the distances covered by both cars should be equal to 600 km: Distance1 + Distance2 = 600

Substituting the values of Distance1 and Distance2, we get: 82 * t + (82 - 14) * t = 600

Simplifying the equation, we have: 82t + 68t = 600 150t = 600 t = 600 / 150 t = 4

Therefore, it will take 4 hours for the distance between the two cars to be 600 km.

Answer

The distance between the two cars will be 600 km after 4 hours.

Note: The calculation assumes that the speeds of the cars remain constant throughout the journey.