Question

Грузовая машина проезжает расстояние между двумя городами за 3 ч а легковая за 2 часа машины одновременно выехали из этих городов навстречу друг другу Через сколько часов они встретятся

Answer 1

Скорость сближения: V = Vгр + Vав
Выразим скорости через расстояние и время:
S/t = S/3 + S/2
t= S : (2S + 3S)/6 = S : 5S/6 = S * 6/5S = 6/5 = 1,2
Ответ: через 1,2 часа грузовик и автомобиль встретятся

Answer 2

Пусть х км это весь путь, тогда скорость Vгрузового будет =х:3 (км/ч), а легкового автомобиля V=х:2 (км/ч)
х/3+х/2=5х/6 (км/ч) общая скорость
х: 5х/6=1целая 1/5часа или 1час 12 мин.

Answer 3

Problem Analysis

To solve this problem, we need to determine the time it takes for a truck and a car, traveling towards each other from two cities, to meet. The truck travels the distance in 3 hours, while the car takes 2 hours.

Solution

Let's denote the speed of the truck as T and the speed of the car as C. We can use the formula distance = speed * time to solve for the time it takes for them to meet.

The distance traveled by the truck in 3 hours is equal to the distance traveled by the car in 2 hours, as they are traveling towards each other.

Calculations

Using the formula distance = speed * time: - For the truck: distance = T * 3 - For the car: distance = C * 2

As they are traveling towards each other, the sum of their distances will be the total distance between the two cities.

Equating the Distances

Equating the distances traveled by the truck and the car: T * 3 = C * 2

Solving for Time

We can solve for the time it takes for them to meet by using the equation T * 3 = C * 2.

Conclusion

By solving the equation T * 3 = C * 2, we can determine the time it takes for the truck and the car to meet.

Let's calculate the time it takes for the truck and the car to meet.