Question

Помоги решить задачу!!!! ,, Из Москвы и Твери в Санкт-Петербург по одному и тому же шоссе выехали одновременно 2 машины: из Москвы - легковая, а из Твери - грузовая. Скорость грузовой машины 50 км/ч. Какова скорость легковой машины, если она догнала грузовую через 7 ч. после выезда, а расстояние от Москвы до Твери 168 км?

Answer 1

1) 7*50=350 км - проехала грузовая машина до встречи
2) 168+350=518 км - проехала легковая машина до встречи
3) 518:7=74 км в час
ответ: 74 км/час

Answer 2

1)  168 6 7 = 24 (км/ч) - скорость вдогонку
2) 50 + 24 = 74 (км/ч) скорость легкового автомобиля

Answer 3

Problem Analysis

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

Solution

Let's assume the speed of the car is x km/h.

We know that the time it takes for the car to catch up to the truck is 7 hours. During this time, the truck has traveled a distance of 50 km/h * 7 h = 350 km.

Since the car catches up to the truck, the total distance traveled by both the car and the truck is equal to the distance between Moscow and Tver, which is 168 km.

Therefore, we can set up the following equation:

Distance traveled by the car + Distance traveled by the truck = Total distance

Let's solve for the speed of the car:

Distance traveled by the car = x km/h * 7 h

Distance traveled by the truck = 50 km/h * 7 h

Total distance = 168 km

(x km/h * 7 h) + (50 km/h * 7 h) = 168 km

Simplifying the equation:

7x + 350 = 168

7x = 168 - 350

7x = -182

x = -182 / 7

x ≈ -26 km/h

Since speed cannot be negative, we can conclude that the car cannot catch up to the truck. Therefore, there is no valid solution for the speed of the car in this scenario.

Conclusion

Based on the given information, the car cannot catch up to the truck. Therefore, there is no valid solution for the speed of the car in this scenario.

Please let me know if there's anything else I can help you with!