Question

Волга выехала из аэропорта через 2 ч после москвича в том же направлении. Скорость москвича 60 км/ч, скорость волги 90 км/ч. Через сколько времени волга догонит москвича. (Можно со схемой?)

Answer 1

2*60=120км он уже прошёл

90-60=30км/ч быстрее чем москвич

120/30= 4 часа он догонет москвича

Answer 2

Problem Analysis

We are given that a Volga car leaves the airport 2 hours after a Muscovite car, both traveling in the same direction. The Muscovite car has a speed of 60 km/h, while the Volga car has a speed of 90 km/h. We need to determine how long it will take for the Volga car to catch up to the Muscovite car.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed is the difference in speeds between two objects moving in the same direction. In this case, the relative speed of the Volga car with respect to the Muscovite car is 90 km/h - 60 km/h = 30 km/h.

Since the Volga car starts 2 hours after the Muscovite car, it has a head start of 2 hours * 60 km/h = 120 km.

To calculate the time it will take for the Volga car to catch up to the Muscovite car, we can use the formula:

Time = Distance / Speed

In this case, the distance the Volga car needs to cover to catch up to the Muscovite car is 120 km. The relative speed between the two cars is 30 km/h. Plugging these values into the formula, we get:

Time = 120 km / 30 km/h = 4 hours

Therefore, it will take the Volga car 4 hours to catch up to the Muscovite car.

Conclusion

The Volga car will catch up to the Muscovite car after 4 hours of travel.