Question

Туристы путь в 270 км проделали,двигаясь 6 ч на теплоходе и 3 ч - на автобусе. Какова была скорость теплохода, если она вдвое меньше скорости автобуса?

Answer 1

Х - скорость теплохода
2х - скорость автобуса
6х+3*2х=270
6х+6х=270
12х=270
х=270:12
х=22,5 (км/ч)
Ответ: скорость теплохода 22,5 км/ч

Answer 2

Х - скорость теплохода
2х - скорость автобуса
6х+2х*3=270
12х=270
х=270/12
х=22,5 км/ч - скорость теплохода
22,5*2=45 км/ч - скорость автобуса

Answer 3

Problem Analysis

We are given that tourists traveled a distance of 270 km, spending 6 hours on a steamboat and 3 hours on a bus. We need to determine the speed of the steamboat, given that it is half the speed of the bus.

Solution

Let's assume the speed of the bus is x km/h. According to the problem, the speed of the steamboat is half the speed of the bus, so the speed of the steamboat is x/2 km/h.

To find the speed of the steamboat, we can use the formula: speed = distance / time.

The distance traveled on the steamboat is 270 km, and the time spent on the steamboat is 6 hours. Therefore, the speed of the steamboat is 270 km / 6 hours = 45 km/h.

Now, we can set up an equation to find the speed of the bus: x = 2 * (x/2)

Simplifying the equation, we get: x = x

This equation is true for any value of x, which means there is no unique solution for the speed of the bus. However, we can conclude that the speed of the steamboat is 45 km/h.

Answer

The speed of the steamboat was 45 km/h.