Question

из Москвы в дачный посёлок выехала грузовая машина со скоростью 43 / ч в тоже время из этого посёлка в Москву выехала легковая машина со скоростью 56/ч. расстояние от Москвы до посёлка 198 км. через сколько часов машины встретятся.

Answer 1

1)43+56=99 км/час скорость сближения

2)198:99=2 часа

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Answer 2

1) 43+56= 99 (ч)- всего грузовая и легковая машина.

2) 198 : 99= 2 (ч) - они встретятся.

Ответ: они встретятся через 2 ч.

Answer 3

Problem Analysis

We are given that a truck leaves Moscow for a dacha settlement at a speed of 43 km/h, while at the same time, a car leaves the settlement for Moscow at a speed of 56 km/h. The distance between Moscow and the settlement is 198 km. We need to determine how many hours it will take for the two vehicles to meet.

Solution

To solve this problem, we can use the formula: time = distance / speed. We can calculate the time it takes for each vehicle to travel the given distance and then find the time it takes for them to meet.

Let's calculate the time it takes for the truck to travel from Moscow to the settlement: - Distance: 198 km - Speed: 43 km/h - Time = Distance / Speed = 198 km / 43 km/h = 4.6047 hours (rounded to 4 decimal places).

Now, let's calculate the time it takes for the car to travel from the settlement to Moscow: - Distance: 198 km - Speed: 56 km/h - Time = Distance / Speed = 198 km / 56 km/h = 3.5357 hours (rounded to 4 decimal places).

Since the two vehicles are traveling towards each other, we can add their times to find the total time it takes for them to meet: - Total time = Time taken by the truck + Time taken by the car = 4.6047 hours + 3.5357 hours = 8.1404 hours (rounded to 4 decimal places).

Therefore, the truck and the car will meet after approximately 8.1404 hours.

Answer

The truck and the car will meet after approximately 8.1404 hours.

Note: The above calculations are based on the given information and assume that the vehicles maintain a constant speed throughout the journey.