Question

2)Из пункта А одновременно в одном направлении выехали автомобилист и велосипедист.Скорость автомобиля 2 км/мин,а скорость велосипедиста составляет 1/4 скорости машины. На каком расстоянии друг от друга будут автомобиль и велосипедист через 3 часа?

Answer 1

1)2:4=0,5(км/мин)-велосипедист
2)0,5км/мин=500м/мин
3)(2*60)*3=360(км)- проехал автомобилист
4)(500*60)*3=90.000(м)-проехал велосипедист
5)90.000м=90км
6)360-90=270(км)-расстояние

Answer 2

2км/мин. = 120км/час
120км/ч · ¹/₄= 30(км/ч) -  скорость велосипедиста
120км/ч·3ч - 30км/ч·3ч = 360км - 90км = 270км - расстояние между ними через 3 часа.

Answer 3

Problem Analysis

We are given that a car and a cyclist start simultaneously from point A and travel in the same direction. The car's speed is 2 km/min, and the cyclist's speed is 1/4 of the car's speed. We need to determine the distance between the car and the cyclist after 3 hours.

Solution

To find the distance between the car and the cyclist after 3 hours, we need to calculate the distance each of them has traveled in that time.

Let's start by calculating the distance traveled by the car. We know that the car's speed is 2 km/min, so in 3 hours (180 minutes), the car will have traveled:

Distance traveled by the car = Speed of the car × Time = 2 km/min × 180 min = 360 km.

Now let's calculate the distance traveled by the cyclist. We are given that the cyclist's speed is 1/4 of the car's speed. Therefore, the cyclist's speed is:

Speed of the cyclist = 1/4 × Speed of the car = 1/4 × 2 km/min = 0.5 km/min.

In 3 hours (180 minutes), the cyclist will have traveled:

Distance traveled by the cyclist = Speed of the cyclist × Time = 0.5 km/min × 180 min = 90 km.

Finally, to find the distance between the car and the cyclist after 3 hours, we subtract the distance traveled by the cyclist from the distance traveled by the car:

Distance between the car and the cyclist = Distance traveled by the car - Distance traveled by the cyclist = 360 km - 90 km = 270 km.

Therefore, after 3 hours, the car and the cyclist will be 270 km apart from each other.

Answer

After 3 hours, the car and the cyclist will be 270 km apart from each other.