Question

Колонна автобусов движется по шоссе со скоростью 60 км/ч. Скорость патрульной машины 85 км/ч. С какой скоростью патрульная машина сближается с первым автобусом, если она движется из конца колоны в её начало? С какой скоростью патрульная машина сближается с последним автобусом, если она движется от начала колонны к её концу?

Answer 1

85-60=25км/ч скорость сближения с первым автобусом если двигается с конца колонны
85+60=145км/ч если от начала колонны в конец.

Answer 2

Problem Analysis

We are given that a column of buses is moving along a highway at a speed of 60 km/h, and a patrol car is moving at a speed of 85 km/h. We need to determine the speed at which the patrol car is approaching the first bus when it is moving from the end of the column towards the beginning, as well as the speed at which it is approaching the last bus when it is moving from the beginning of the column towards the end.

Solution

To find the speed at which the patrol car is approaching the first bus, we need to consider the relative speed between the patrol car and the first bus. Since the patrol car is moving towards the beginning of the column, its speed relative to the first bus will be the difference between their speeds. Therefore, the speed at which the patrol car is approaching the first bus is 85 km/h - 60 km/h = 25 km/h.

To find the speed at which the patrol car is approaching the last bus, we need to consider the relative speed between the patrol car and the last bus. Since the patrol car is moving towards the end of the column, its speed relative to the last bus will be the sum of their speeds. Therefore, the speed at which the patrol car is approaching the last bus is 85 km/h + 60 km/h = 145 km/h.

Answer

The patrol car is approaching the first bus at a speed of 25 km/h and the last bus at a speed of 145 km/h.

Verification

The information provided in the answer is based on the given problem statement and does not require external sources for verification.