Question

Мотоцикл выехал из города в поселок со скоростью 45 км в час. Через 2 часа следом за ним выехала машина со скоростью 60 километров в час.Через сколько часов машина догонит мотоцикл?

Answer 1

1)45•2=90 проехал мотоцикл пока не выехала машина
2)60-45=15 скорость сближения
3)90:15=6 через сколько часов машина дагонит матоцикл

Answer 2

Скорость мотоцикла: 45 км/ч
Скорость машины:60км/ч
Время мотоцикла: 2 часа
Время догона: (45*2)/(60-45)=90/15=6 часов

Answer 3

Problem Analysis

We are given that a motorcycle travels from a city to a village at a speed of 45 km/h, and after 2 hours, a car follows it at a speed of 60 km/h. We need to determine how many hours it will take for the car to catch up to the motorcycle.

Solution

To solve this problem, we can use the formula: distance = speed × time.

Let's assume that the time it takes for the car to catch up to the motorcycle is t hours.

The distance traveled by the motorcycle in t hours is given by: distance_motorcycle = speed_motorcycle × t.

The distance traveled by the car in t hours is given by: distance_car = speed_car × t.

Since the car catches up to the motorcycle, the distances traveled by both vehicles must be equal. Therefore, we can set up the following equation:

distance_motorcycle = distance_car

Substituting the expressions for distance, we get:

speed_motorcycle × t = speed_car × t

We can cancel out the t from both sides of the equation:

speed_motorcycle = speed_car

Now we can solve for t:

t = distance_motorcycle / speed_car

Substituting the given values, we have:

t = (45 km/h × 2 hours) / 60 km/h

Simplifying the expression, we get:

t = 1.5 hours

Therefore, it will take the car 1.5 hours to catch up to the motorcycle.

Answer

The car will catch up to the motorcycle in 1.5 hours.

Explanation

The car and the motorcycle are traveling at different speeds. The car is traveling at 60 km/h, while the motorcycle is traveling at 45 km/h. Since the car is traveling faster, it will eventually catch up to the motorcycle. In this case, it will take the car 1.5 hours to catch up to the motorcycle.