Question

Из пунктов А и В, расстояние между которыми равно 108 км, одновременно навстречу друг другу выехали два автомобиля. Какую часть скорость второго автомобиля составляет от скорости первого, если известно, что встретились они через час, а скорость первого автомобиля равна 60 км/ч?

Answer 1

Проехали всего 1 ч, значит, скорость сближения у них 108 км/ч.
108 - 60 = 48 км/ч - скорость второго авто
48 : 60 = 4/5 - составляет скорость второго авто от первого.

Answer 2

Problem Analysis

Two cars, A and B, are traveling towards each other. The distance between them is 108 km. Car A is traveling at a speed of 60 km/h. We need to find the ratio of the speed of car B to the speed of car A.

Solution

Let's denote the speed of car A as v km/h and the speed of car B as r*v km/h, where r is the ratio of the speed of car B to the speed of car A.

The time it takes for the cars to meet is 1 hour, as they meet after 1 hour.

Using the formula: distance = speed * time, we can calculate the distance traveled by each car.

The distance traveled by car A is 60 * 1 = 60 km.

The distance traveled by car B is r*v * 1 = r*v km.

The sum of the distances traveled by both cars is equal to the total distance between them, which is 108 km.

So, the equation becomes: 60 + r*v = 108.

Solving for r, we get: r = (108 - 60) / v.

Calculation

Substituting the given values, we get: r = (108 - 60) / 60 = 48 / 60 = 0.8.

Answer

The ratio of the speed of car B to the speed of car A is 0.8.

Conclusion

Therefore, the speed of the second car is 80% of the speed of the first car.