Question

Из двух сёл, 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

Скорость Сближения 35-15=20км/ч
Догонит через 40:20=2Часа

Answer 2

Problem Analysis

We are given that the distance between two villages is 40 km. An bus and a cyclist start simultaneously from one village in the same direction. The cyclist has a speed of 15 km/h, while the bus has a speed of 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.

Let's denote the time it takes for the bus to catch up to the cyclist as t.

The distance covered by the cyclist in time t is given by: distance_cyclist = speed_cyclist * t.

The distance covered by the bus in time t is given by: distance_bus = speed_bus * t.

Since the bus catches up to the cyclist, the distances covered by both the bus and the cyclist will be equal when the bus catches up. Therefore, we can set up the equation: distance_cyclist = distance_bus.

Substituting the values, we get: speed_cyclist * t = speed_bus * t.

Simplifying the equation, we get: 15t = 35t.

Solving for t, we find: t = 0.

Therefore, the bus will catch up to the cyclist in 0 hours.

Answer

The bus will catch up to the cyclist in 0 hours.