Question

Автобус и грузовая машина , скорость которой на 15 км/час больше скорости автобуса , выехали одновременно навстречу друг другу из двух городов , расстояние между которыми 455 км . найдите скорости автобуса и грузовика , если известно . что они встретились через 2,6 часа после выезда

Answer 1

Автобус = х
машина = х+15
сближаются = 2 х+15
455 км за 2,6 часа - скорость сближения = 455 / 2,6 = 2 х + 15
х = (455/2,6 - 15)/2 = 90

Answer 2

Problem Analysis

We are given that a bus and a truck, with a speed 15 km/h greater than the bus, start from two cities and travel towards each other. The distance between the cities is 455 km. We need to find the speeds of the bus and the truck, given that they meet 2.6 hours after starting.

Solution

Let's assume the speed of the bus is x km/h. Since the speed of the truck is 15 km/h greater than the bus, the speed of the truck is x + 15 km/h.

We know that the time taken by both vehicles to meet is 2.6 hours.

To find the speeds of the bus and the truck, we can use the formula:

Distance = Speed × Time

For the bus, the distance traveled is the sum of the distances covered by the bus and the truck, which is equal to the total distance between the cities (455 km).

For the truck, the distance traveled is the product of its speed and the time taken to meet (2.6 hours).

Let's set up the equations:

Bus distance + Truck distance = Total distance

x × 2.6 + (x + 15) × 2.6 = 455

Simplifying the equation:

2.6x + 2.6x + 39 = 455

5.2x = 416

x = 80

The speed of the bus is 80 km/h.

The speed of the truck is 15 km/h greater than the bus, so the speed of the truck is 80 + 15 = 95 km/h.

Therefore, the speed of the bus is 80 km/h and the speed of the truck is 95 km/h.

Answer

The speed of the bus is 80 km/h and the speed of the truck is 95 km/h.