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

Теплоход - 22.5 км/ч
Автобус - 50км/ч

Answer 2

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 total time spent on the steamboat and the bus is 6 hours + 3 hours = 9 hours.

The distance traveled on the steamboat is the speed of the steamboat multiplied by the time spent on the steamboat, which is (x/2) * 6 km.

The distance traveled on the bus is the speed of the bus multiplied by the time spent on the bus, which is x * 3 km.

According to the problem, the total distance traveled is 270 km. Therefore, we can write the equation:

(x/2) * 6 + x * 3 = 270

Simplifying the equation:

3x + 6x = 540

9x = 540

x = 60

Therefore, the speed of the bus is 60 km/h, and the speed of the steamboat is half of that, which is 30 km/h.

Answer

The speed of the steamboat was 30 km/h.