Question

Машина, гружённая капустой, выехала из деревни в город. Она ехала со скоростью 45км/ч и пробыла в пути 6ч. Обратный путь она преодалела за 3ч. С какой скоростью машина ехала обратно в деревню? И тут сказано что надо решить задачу двумя способами

Answer 1

Ответ:

90 км/ч

Пошаговое объяснение:

1 Способ:

45*6=270 (км) - расстояние из деревни в город;

270:3=90 (км/ч) - скорость машины обратно в деревню;

2 Способ:

Пусть х км - расстояние из деревни в город; х>0;

Тогда:

х=6*45:3;

х=2*45;

х=90;

90>0 - верно;

90 (км/ч) - скорость машины обратно в деревню.

Answer 2

To solve this problem, we can use two different methods: the formula method and the distance-speed-time method.

Formula Method:

Let's denote the speed of the car on the forward journey as x km/h. According to the problem, the car traveled from the village to the city in 6 hours at a speed of 45 km/h. Using the formula distance = speed × time, we can write the equation as:

45 km/h × 6 hours = x km/h × 6 hours

Simplifying the equation, we get:

270 km = 6x

Dividing both sides of the equation by 6, we find:

x = 270 km / 6 = 45 km/h

Therefore, the car traveled back to the village at a speed of 45 km/h.

Distance-Speed-Time Method:

Let's consider the distance from the village to the city as d km. On the forward journey, the car traveled at a speed of 45 km/h for 6 hours, so the distance can be calculated as:

distance = speed × time = 45 km/h × 6 hours = 270 km

On the return journey, the car traveled the same distance of 270 km, but this time it took only 3 hours. To find the speed, we can use the formula speed = distance / time:

speed = 270 km / 3 hours = 90 km/h

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

Both methods yield the same result, so the car traveled back to the village at a speed of 45 km/h or 90 km/h.

Please let me know if you need any further assistance!