Question

Автомобиль,двигаясь с постоянной скоростью 90 км\ч,в течении 10с прошел такой же путь ,какой прошел за 15с автобус,двигающийся равномерно в том же направлении. Какова скорость автомобиля относительно автобуса?

Answer 1

Calculation of the Relative Speed of the Car with Respect to the Bus

To calculate the relative speed of the car with respect to the bus, we need to consider the distances traveled by both vehicles in the given time intervals.

Let's assume that the distance traveled by the car in 10 seconds is D1 and the distance traveled by the bus in 15 seconds is D2.

According to the problem statement, the car is moving at a constant speed of 90 km/h, and the bus is also moving uniformly in the same direction.

We can use the formula speed = distance / time to find the distances traveled by both vehicles.

For the car: - Speed of the car = 90 km/h - Time = 10 seconds

Using the formula, we can calculate the distance traveled by the car in 10 seconds:

D1 = (90 km/h) * (10 seconds) = 900 km

For the bus: - Time = 15 seconds

Using the formula, we can calculate the distance traveled by the bus in 15 seconds:

D2 = (speed of the bus) * (time) = (unknown) * (15 seconds)

To find the speed of the bus, we need to equate the distances traveled by both vehicles:

D1 = D2

Substituting the values we have:

900 km = (unknown) * (15 seconds)

Solving for the unknown speed of the bus:

Speed of the bus = 900 km / 15 seconds = 60 km/h

Therefore, the speed of the car with respect to the bus is:

Speed of the car with respect to the bus = Speed of the car - Speed of the bus = 90 km/h - 60 km/h = 30 km/h.

So, the speed of the car with respect to the bus is 30 km/h.