Question

Из двух сёл одновременно в одном направлении выехали два автомобиля. Скорость одной из них 60км/ч,скорость другой 90км/ч. Через час одна машина догнала другую. Чему равно расстояние между сёлами.

Answer 1

Нарисуй для наглядности отрезок, обозначь слева точку А, справа В. Машины едут слева направо.

Так как одна машина догнала другую, значит та, которую догоняли ехала 60 км/ч (из села В), а так что догоняла 90 км/ч (из села А). За час машина В проехала 60 км, машина А 90 км, при этом она проехала расстояние от села А до села В и расстояние, которое прошла машина В.

90-60=30 км расстояние между селами

Answer 2

Problem Analysis

Two cars start simultaneously from two different villages in the same direction. The speed of one car is 60 km/h, and the speed of the other car is 90 km/h. After one hour, one car catches up to the other. We need to find the distance between the villages.

Solution

Let's assume that the distance between the two villages is d km.

After one hour, the car traveling at 60 km/h will have covered a distance of 60 km, and the car traveling at 90 km/h will have covered a distance of 90 km.

Since one car catches up to the other, the difference in their distances traveled is equal to the distance between the villages.

The car traveling at 90 km/h will have covered an additional distance of (90 - 60) km = 30 km compared to the car traveling at 60 km/h.

Therefore, the distance between the villages is 30 km.

Answer

The distance between the two villages is 30 km.

Explanation

After one hour, the car traveling at 90 km/h will have covered a distance of 90 km, while the car traveling at 60 km/h will have covered a distance of 60 km. The difference in their distances traveled is 30 km, which is equal to the distance between the villages