Question

Из москвы и твери в санкт-петербург по одному и тому же шоссе выехали одновременно две машины из москвы легковая из твери грузовая скорость грузовой машины 50 км в час какова скорость легковой машина если она догнала грузовую через 7 часов после выезда расстояние от москвы до твери 168 км

Answer 1

Скорость легковой машины 74км/ч.

Answer 2

Problem Analysis

We have two cars, one leaving from Moscow and the other from Tver, both heading to St. Petersburg on the same highway. The speed of the truck from Tver is given as 50 km/h. We need to find the speed of the car from Moscow if it catches up to the truck after 7 hours of departure. The distance from Moscow to Tver is given as 168 km.

Solution

To find the speed of the car from Moscow, we can use the formula:

Speed = Distance / Time

Let's calculate the time it takes for the truck to travel from Tver to the point where it is caught by the car from Moscow.

The distance from Tver to the point where the car catches up to the truck is the same as the distance from Moscow to Tver, which is 168 km.

The time taken by the truck to cover this distance is given by:

Time = Distance / Speed

Substituting the values, we get:

Time = 168 km / 50 km/h = 3.36 hours

Since the car from Moscow catches up to the truck after 7 hours, we can subtract the time taken by the truck from the total time to find the time taken by the car.

Time taken by the car = Total time - Time taken by the truck = 7 hours - 3.36 hours = 3.64 hours

Now, we can calculate the speed of the car from Moscow using the formula:

Speed = Distance / Time

Substituting the values, we get:

Speed = 168 km / 3.64 hours ≈ 46.15 km/h

Therefore, the speed of the car from Moscow is approximately 46.15 km/h.

Answer

The speed of the car from Moscow is approximately 46.15 km/h.