Question

Автомобиль ехал 6 раз быстрее лошали и за 12 часов проехал 720 км. Какой путь прошла лошадь за 6 часов? (пожалуйста помогите срочно)

Answer 1

1) 720:12=60(км/ч) - скорость автомобиля.
2) 60:6=10(км/ч) - скорость лошади.
3) 10 х 6= 60(км)
Ответ: лошадь за 6 часов прошла 60км.

Answer 2

Способ 1
Автомобиль за 6ч проехал половину всего пути, т.е. 720:2=360 км (т.к. 6ч=1/2*12ч)

Т.к. скорость лошади в 6 раз меньше скорости автомобиля, то и прошла она за одинаковое время в 6 раз меньшее расстояние, чем проехал автомобиль:
360:6=60 км

Ответ: 60км

Способ 2
Найдем скорость автомобиля:
720:12=60 км/ч

Найдем скорость лошади, зная, что она в 6 раз меньше скорости автомобиля:
60:6=10 км/ч

Определим расстояние, которое прошла лошадь за 6ч:
10*6=60 км

Ответ: 60 км

Answer 3

Problem Analysis

We are given that a car traveled 6 times faster than a horse and covered a distance of 720 km in 12 hours. We need to determine the distance covered by the horse in 6 hours.

Solution

Let's assume the speed of the horse is x km/h. Since the car is traveling 6 times faster than the horse, the speed of the car would be 6x km/h.

We know that distance = speed × time.

For the car: - Speed of the car = 6x km/h - Time taken by the car = 12 hours - Distance covered by the car = 720 km

For the horse: - Speed of the horse = x km/h - Time taken by the horse = 6 hours - Distance covered by the horse = ?

Using the formula distance = speed × time, we can set up the following equation for the car: 720 km = (6x km/h) × 12 hours

Simplifying the equation: 720 km = 72x km/h

Dividing both sides of the equation by 72: 10 km = x km/h

Now that we know the speed of the horse is 10 km/h, we can calculate the distance covered by the horse in 6 hours using the formula distance = speed × time: Distance covered by the horse = (10 km/h) × 6 hours = 60 km

Therefore, the horse covered a distance of 60 km in 6 hours.

Answer

The horse covered a distance of 60 km in 6 hours.

Verification

Let's verify the answer using the given information.

The car traveled 720 km in 12 hours at a speed of 6x km/h. Substituting the value of x, we get: Speed of the car = 6 × 10 km/h = 60 km/h

The horse traveled for 6 hours at a speed of x km/h. Substituting the value of x, we get: Speed of the horse = 10 km/h

Now, let's calculate the distance covered by the horse in 6 hours: Distance covered by the horse = (10 km/h) × 6 hours = 60 km

The calculated distance matches the given information, so our answer is verified.

Conclusion

The horse covered a distance of 60 km in 6 hours.