Question

Из поселка в город сначала выехала грузовая машина через некоторое время в том же направлении выехали легковая машины скорость грузовой машины равна 60 километров час а скорость легковой 80 километров час проехал 480 км легковая машина догнала грузовую Сколько километров грузовая машина до того как я выехала легковая машина

Answer 1

1) Время, за которое легковая машина догнала грузовую:
480 : 80 = 6 (ч);
2) расстояние, которое проехала грузовая машина за 6 ч:
60 * 6 = 360 (км);
3) расстояние, которое проехала грузовая машина до того, как выехала легковая:
480 - 360 = 120 (км).
Ответ: грузовая машина проехала 120 км до того, как выехала легковая.
 

Answer 2

Problem Analysis

We are given the following information: - A truck initially left the village and later, cars also left in the same direction. - The speed of the truck is 60 kilometers per hour, and the speed of the cars is 80 kilometers per hour. - The cars caught up to the truck after traveling 480 kilometers.

We need to determine the distance the truck traveled before the cars caught up to it.

Solution

Let's assume that the truck traveled for time 't' hours before the cars caught up to it. During this time, the truck traveled a distance of 60t kilometers.

We are also given that the cars traveled 480 kilometers. Since the cars traveled at a faster speed, they took less time to cover this distance. Let's assume the time taken by the cars is 't - x' hours, where 'x' is the time difference between the truck and the cars.

Using the formula distance = speed × time, we can set up the following equation:

60t = 80(t - x)

Simplifying the equation, we get:

60t = 80t - 80x

Rearranging the equation, we get:

20t = 80x

Dividing both sides of the equation by 20, we get:

t = 4x

Since we know that the cars traveled for 't - x' hours, we can substitute the value of 't' from the equation above:

t - x = 4x - x = 3x

We are given that the cars traveled 480 kilometers, so we can set up another equation using the formula distance = speed × time:

80(3x) = 480

Simplifying the equation, we get:

240x = 480

Dividing both sides of the equation by 240, we get:

x = 2

Now, we can substitute the value of 'x' back into the equation t = 4x to find the value of 't':

t = 4(2) = 8

Therefore, the truck traveled for 8 hours before the cars caught up to it. The distance traveled by the truck can be calculated using the formula distance = speed × time:

distance = 60 × 8 = 480 kilometers.

Answer: The truck traveled 480 kilometers before the cars caught up to it.

Conclusion

In this problem, we determined the distance the truck traveled before the cars caught up to it. We used the given speeds of the truck and the cars, along with the distance traveled by the cars, to set up and solve equations to find the time and distance traveled by the truck. The truck traveled 480 kilometers before the cars caught up to it.