Question

Из одного дома одновременно в противоположные стороны вышел пешеход со скоростью 3 км/ч и выехал велосипедист. Через 5 часов расстояние между ними стало 45 км. Найдите скорость велосипедист

Answer 1

6 км в час скорость велосипедиста

Answer 2

Problem Analysis

We are given that a pedestrian and a cyclist leave a house simultaneously and move in opposite directions. The pedestrian's speed is 3 km/h. After 5 hours, the distance between them is 45 km. We need to find the speed of the cyclist.

Solution

Let's assume the speed of the cyclist is x km/h.

After 5 hours, the pedestrian would have covered a distance of 3 km/h * 5 h = 15 km.

The distance covered by the cyclist in 5 hours can be calculated using the formula: distance = speed * time. Therefore, the distance covered by the cyclist is x km/h * 5 h = 5x km.

The total distance between them after 5 hours is given as 45 km. Therefore, we can write the equation:

15 km + 5x km = 45 km

Simplifying the equation, we get:

5x km = 30 km

Dividing both sides of the equation by 5, we find:

x = 6 km/h

Therefore, the speed of the cyclist is 6 km/h.

Answer

The speed of the cyclist is 6 km/h.