Question

С одной автобусной станции отошли в противоположных направлениях два автобуса.Первый автобус вышел на 0.8 часов раньше второго и через 2 часа прибыл в город A.Одновременно с ним второй автобус прибыл в город B,удаленный от А на 210 км. с какой скоростью ехали автобусы ,если известно что скорость второго на 25% больше скорости первого автобуса?

Answer 1

Скорость первого x км/ч, скорость второго x+x*25% = x+x*25/100 = x+0,25x = 1,25 км/ч.

Первый был в пути 2 часа и проехал 2x км, второй был в пути 2-0,8 = 1,2 часа и проехал 1,25*1,2x = 1,5x км. Зная, что вместе автобусы проехали 210 км, составим и решим уравнение:

2x+1,5x = 210

3,5x = 210

x = 210/3,5 = 60 км/ч - скорость первого автобуса,

60*1,25 = 75 км/ч - скорость второго автобуса.

Answer 2

Problem Analysis

We are given that two buses departed from a bus station in opposite directions. The first bus arrived at city A after 2 hours, while the second bus arrived at city B, which is 210 km away from city A. We also know that the second bus's speed is 25% higher than the speed of the first bus. We need to find the speed at which the buses were traveling.

Solution

Let's assume the speed of the first bus is x km/h. Since the second bus's speed is 25% higher, its speed will be 1.25x km/h.

We can use the formula speed = distance / time to find the speeds of the buses.

For the first bus: - Distance = 210 km (distance from city A to city B) - Time = 2 hours (time taken to travel from city A to city B)

For the second bus: - Distance = 210 km (distance from city B to city A) - Time = 2 + 0.8 = 2.8 hours (time taken to travel from city B to city A, considering the first bus left 0.8 hours earlier)

Let's calculate the speeds of the buses using the formula mentioned above.

For the first bus: - Speed = Distance / Time = 210 km / 2 hours = 105 km/h.

For the second bus: - Speed = Distance / Time = 210 km / 2.8 hours = 75 km/h.

Therefore, the first bus was traveling at a speed of 105 km/h, and the second bus was traveling at a speed of 75 km/h.

Answer

The first bus was traveling at a speed of 105 km/h, and the second bus was traveling at a speed of 75 km/h.