Question

Из одного населенного пункта в противоположных направлениях выехали автомобиль и мотоцикл . Скорость автомобиля 75км/ч , скорость мотоцикла составляет 64% скорости автомобиля . Через сколько часов расстояние между ними будет равно 319,8 ?

Answer 1

Problem Analysis

We are given that a car and a motorcycle start from the same location and travel in opposite directions. The car has a speed of 75 km/h, while the motorcycle's speed is 64% of the car's speed. We need to determine the time it takes for the distance between them to be 319.8 km.

Solution

Let's first calculate the speed of the motorcycle. We know that the motorcycle's speed is 64% of the car's speed, which means it is 0.64 times the car's speed.

The speed of the motorcycle = 0.64 * 75 km/h = 48 km/h.

Now, let's assume that the time taken for the distance between them to be 319.8 km is 't' hours.

During this time, the car will travel a distance of 75t km, and the motorcycle will travel a distance of 48t km.

Since they are traveling in opposite directions, the sum of their distances should be equal to 319.8 km.

75t + 48t = 319.8

Simplifying the equation:

123t = 319.8

t = 319.8 / 123

t ≈ 2.6 hours

Therefore, it will take approximately 2.6 hours for the distance between the car and the motorcycle to be 319.8 km.

Answer

The distance between the car and the motorcycle will be equal to 319.8 km after approximately 2.6 hours.