Question

Помогите пожалуйстаИз села в направлении города выехал мотоциклист со скоростью 80 км/ч. Через 1,5ч из города в село выехал велосипедист со скоростью 16 км/ч.Сколько часов ехал до встречи каждый из них, если расстояние меду городом и селом равно 216 км ?

Answer 1

Обозначим время через х

(80+16)*х=216-80*1,5
96х=96
х=1 ч ехал велосипедист до встречи
1+1,5=2,5 ч ехал мотоциклист всего

Answer 2

Problem Analysis

We are given that a motorcyclist travels from a village to a city at a speed of 80 km/h, and after 1.5 hours, a cyclist travels from the city to the village at a speed of 16 km/h. We need to determine how long each of them traveled before they met, given that the distance between the city and the village is 216 km.

Solution

Let's assume that the motorcyclist traveled for x hours before they met. Since the motorcyclist's speed is 80 km/h, the distance traveled by the motorcyclist can be calculated as 80x km.

Similarly, the cyclist traveled for (x + 1.5) hours before they met. Since the cyclist's speed is 16 km/h, the distance traveled by the cyclist can be calculated as 16(x + 1.5) km.

According to the problem, the sum of the distances traveled by the motorcyclist and the cyclist is equal to the total distance between the city and the village, which is 216 km. Therefore, we can set up the following equation:

80x + 16(x + 1.5) = 216

Simplifying the equation:

80x + 16x + 24 = 216 96x + 24 = 216 96x = 192 x = 2

Therefore, the motorcyclist traveled for 2 hours before they met, and the cyclist traveled for (2 + 1.5) = 3.5 hours before they met.

Answer

The motorcyclist traveled for 2 hours before they met, and the cyclist traveled for 3.5 hours before they met.

Explanation

The motorcyclist traveled at a speed of 80 km/h for 2 hours, covering a distance of 80 * 2 = 160 km. The cyclist traveled at a speed of 16 km/h for 3.5 hours, covering a distance of 16 * 3.5 = 56 km. The sum of these distances is 160 + 56 = 216 km, which is the total distance between the city and the village.