Question

Автобус и грузовая машина, скорость которой на 19 км/ч больше скорости автобуса, выехали одновременно навстречу друг другу из двух городов, расстояние между которыми — 310 км. Определи скорости автобуса и грузовой машины, если известно, что они встретились через 2 ч. после выезда. Ответ:скорость автобуса — км/ч;скорость грузовой машины — км/ч.помогитеее​

Answer 1

Ответ:68  87

Пошаговое объяснение:

(х+х+19)х2=310

4х=310-38=272

х=272:4=68км/час скор автобуса

68+19=87км/час груз

Answer 2

Problem Analysis

We are given that a bus and a truck, whose speed is 19 km/h greater than the speed of the bus, start from two cities and travel towards each other. The distance between the cities is 310 km. They meet after 2 hours. We need to determine the speeds of the bus and the truck.

Solution

Let's assume the speed of the bus is x km/h. Since the speed of the truck is 19 km/h greater than the speed of the bus, the speed of the truck is (x + 19) km/h.

We can use the formula distance = speed × time to solve this problem. The total distance traveled by both the bus and the truck is 310 km. The time taken for them to meet is 2 hours.

For the bus: - Distance = Speed × Time - 310 km = x km/h × 2 h - 310 km = 2x km

For the truck: - Distance = Speed × Time - 310 km = (x + 19) km/h × 2 h - 310 km = 2(x + 19) km

Now we can solve these two equations to find the values of x and (x + 19).

Let's solve the first equation: - 310 km = 2x km - Dividing both sides by 2: 310 km / 2 = 2x km / 2 - 155 km = x km

So, the speed of the bus is 155 km/h.

Now let's solve the second equation: - 310 km = 2(x + 19) km - Expanding the equation: 310 km = 2x km + 38 km - Subtracting 38 km from both sides: 310 km - 38 km = 2x km + 38 km - 38 km - 272 km = 2x km

Dividing both sides by 2: 272 km / 2 = 2x km / 2 - 136 km = x km

So, the speed of the truck is 136 km/h.

Therefore, the speed of the bus is 155 km/h and the speed of the truck is 136 km/h.

Answer

The speed of the bus is 155 km/h and the speed of the truck is 136 km/h.