Question

Машина, нагружённая капустой , выехала из деревни в город. Она ехала со скоростью 45км/ч и пробыла в пути 6 часов. Обратно она ехала 3 часа. С какой скоростью машина ехала обратно в деревню? Реши 2 способами. Только плиз не уровнением

Answer 1

1 способ
1)45 * 6=270 км(расстояние между деревней и городом)
2)270 км:3=90 км/ч(скорость машины из города в деревню)
2 способ
1)6:3=2(во сколько раз время из деревни в город больше времени города в деревню)
2)45 * 2=90 км/ч(скорость из города в деревню)

Answer 2

Problem Analysis

We are given that a car loaded with cabbage traveled from a village to a city at a speed of 45 km/h and took 6 hours to reach its destination. On the return journey, the car traveled for 3 hours. We need to determine the speed at which the car traveled back to the village.

Solution 1: Using Distance and Time

To find the speed of the car on the return journey, we can use the formula:

Speed = Distance / Time

Let's calculate the distance traveled by the car on the outbound journey using the given information.

The distance traveled on the outbound journey can be calculated as:

Distance = Speed × Time

Substituting the given values:

Distance = 45 km/h × 6 hours

Now, let's calculate the distance:

Distance = 270 km

Since the distance traveled on the outbound journey is the same as the distance traveled on the return journey, we can use the formula to find the speed on the return journey:

Speed = Distance / Time

Substituting the values:

Speed = 270 km / 3 hours

Now, let's calculate the speed:

Speed = 90 km/h

Therefore, the car traveled back to the village at a speed of 90 km/h.

Solution 2: Using Average Speed

Another way to solve this problem is by using the concept of average speed. The average speed of a round trip is given by the formula:

Average Speed = Total Distance / Total Time

Since the distance traveled on the outbound journey is the same as the distance traveled on the return journey, we can calculate the average speed using the given information.

The total distance traveled is twice the distance traveled on the outbound journey:

Total Distance = 2 × Distance

Substituting the values:

Total Distance = 2 × 270 km

Now, let's calculate the total distance:

Total Distance = 540 km

The total time taken is the sum of the outbound journey time and the return journey time:

Total Time = Outbound Journey Time + Return Journey Time

Substituting the values:

Total Time = 6 hours + 3 hours

Now, let's calculate the total time:

Total Time = 9 hours

Using the formula for average speed:

Average Speed = Total Distance / Total Time

Substituting the values:

Average Speed = 540 km / 9 hours

Now, let's calculate the average speed:

Average Speed = 60 km/h

Since the average speed is the same as the speed on the outbound journey, the car traveled back to the village at a speed of 60 km/h.

Therefore, the car traveled back to the village at a speed of 60 km/h.

Conclusion

The car traveled back to the village at a speed of 90 km/h (using the distance and time method) or 60 km/h (using the average speed method).