Question

Из одного населенного пункта в противоположных направлениях выехали автобус и велосипедист. Скорось автобуа 64 км/ч, скорость велосипедиста составляет 15% скорости автобуса. Через сколько часов расстояние между ними будет равно 138.88 км?

Answer 1

Скорость велосипедиста равна = 64 *15 /100 =9,6 км/ч
За один час они проезжают 64 + 9,6 = 73,6 км
Определим через сколько часов расстояние между ними будет  138,88 км :  138,88 / 73,6 =1,89 час

Answer 2

To find the time it takes for the distance between the bus and the cyclist to be 138.88 km, we can set up an equation based on their speeds and the time it takes. Let's solve it step by step.

Given information:

- Speed of the bus: 64 km/h - Speed of the cyclist: 15% of the bus's speed - Distance between them when they start: 0 km - Distance between them after a certain time: 138.88 km

Solution:

Let's assume that the time it takes for the distance between them to be 138.88 km is 't' hours.

The distance traveled by the bus in 't' hours can be calculated using the formula: distance = speed * time. So, the distance traveled by the bus in 't' hours is 64 * t km.

The distance traveled by the cyclist in 't' hours can be calculated using the formula: distance = speed * time. Since the speed of the cyclist is 15% of the bus's speed, the distance traveled by the cyclist in 't' hours is (0.15 * 64 * t) km.

The total distance between them after 't' hours is the sum of the distances traveled by the bus and the cyclist: (64 * t) + (0.15 * 64 * t) = 138.88

Simplifying the equation: 64t + 9.6t = 138.88 73.6t = 138.88 t = 138.88 / 73.6 t ≈ 1.886 hours

Answer:

The distance between the bus and the cyclist will be equal to 138.88 km after approximately 1.886 hours.

Please note that this calculation assumes constant speeds for both the bus and the cyclist.