Question

Из двух сел, расстояние между которыми 40 км,одновременно в одном направлении выехали автобус и велосипедист. Скорость велосипедиста 15 км/ч, а скорость автобуса 35 км/ч. Через сколько часов автобус догонит велосипедиста?

Answer 1

1)35-15=20 км/час скорость сближения
2)40:20=2 часа

Answer 2

Problem Analysis

We are given that there are two villages with a distance of 40 km between them. A bus and a cyclist start simultaneously in the same direction. The cyclist's speed is 15 km/h, and the bus's speed is 35 km/h. We need to determine how many hours it will take for the bus to catch up to the cyclist.

Solution

To solve this problem, we can use the formula: time = distance / speed. Since the bus is trying to catch up to the cyclist, we can assume that the distance traveled by both the bus and the cyclist will be the same when the bus catches up.

Let's calculate the time it takes for the bus to catch up to the cyclist:

1. Let's assume that the time it takes for the bus to catch up to the cyclist is t hours. 2. The distance traveled by the cyclist in t hours is 15t km. 3. The distance traveled by the bus in t hours is 35t km. 4. Since the distance traveled by both the bus and the cyclist is the same when the bus catches up, we can set up the equation: 15t = 35t. 5. Solving this equation, we find that t = 0.

Answer

Therefore, the bus will catch up to the cyclist instantly, at the same moment they start moving.