Question

Из двух населённых пунктов расстояние между которыми 205,6 км одновременно навстречу друг другу выехали автомобиль и мотоцикл. Скорость автомобиля 75 км/ч скорость мотоцикла состовляет 0,6 скорости автомобиля. Через сколько часов расстояние между ними будет равно 55,6 км?

Answer 1

1)75*0,6=45 км/час скорость мото
2)75+45=120 км/час скорость сближения
3)205,6-55,6=150 км нужно проехать 
4)150:120=1,25 часа
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Answer 2

Problem Analysis

We are given that the distance between two towns is 205.6 km. An automobile and a motorcycle start simultaneously from these towns and travel towards each other. The speed of the automobile is 75 km/h, and the speed of the motorcycle is 0.6 times the speed of the automobile. We need to find the time it takes for the distance between them to become 55.6 km.

Solution

Let's assume that the time taken for the distance between the two vehicles to become 55.6 km is t hours.

The distance traveled by the automobile in t hours is given by: Distance traveled by automobile = Speed of automobile × Time taken = 75t km.

The distance traveled by the motorcycle in t hours is given by: Distance traveled by motorcycle = Speed of motorcycle × Time taken = 0.6 × 75t km.

Since the automobile and motorcycle are traveling towards each other, the sum of their distances traveled should be equal to the total distance between the towns: Distance traveled by automobile + Distance traveled by motorcycle = Total distance between towns = 205.6 km.

Substituting the values, we get: 75t + 0.6 × 75t = 205.6.

Simplifying the equation: 75t + 45t = 205.6, 120t = 205.6, t = 205.6 / 120.

Calculating the value of t: t ≈ 1.7133 hours.

Therefore, it will take approximately 1.7133 hours for the distance between the automobile and motorcycle to become 55.6 km.

Answer

It will take approximately 1.7133 hours for the distance between the automobile and motorcycle to become 55.6 km.