Question

Из двух деревень одновременно навстречу друг другу выехали две упряжки. Скорость первой упряжки 7 км/ч , и она проехала до встречи 28 км . Скорость второй упряжки 9 км / я. Чему равно расстояние между деревнями ?

Answer 1

1) 28:7=4 (часа)-время 1 упряжки до встречи
2) 9х4=36 (км)-путь 2 до встречи
3) 36+28=64 (км)-расстояние
Ответ:64 километра.

Answer 2

64 км,т.к. первая упряжка ехала 4 часа со скоростью 7 км/ч,вторая тоже ехала 4 часа со скорость 9 км/ч.Первая проехала-28 км,вторая-36.Всего:64

Answer 3

Problem Analysis

We are given that two horse-drawn carriages start simultaneously from two villages and travel towards each other. The first carriage has a speed of 7 km/h and travels 28 km before meeting the second carriage. The second carriage has a speed of 9 km/h. We need to find the distance between the two villages.

Solution

Let's assume that the distance between the two villages is x km.

The time taken by the first carriage to travel 28 km is given by: time1 = distance1 / speed1 = 28 km / 7 km/h = 4 hours.

Similarly, the time taken by the second carriage to travel the remaining distance (x - 28) km is given by: time2 = distance2 / speed2 = (x - 28) km / 9 km/h.

Since both carriages started simultaneously, the total time taken by both carriages to meet each other is the same. Therefore, we can equate the two time expressions:

time1 = time2 4 hours = (x - 28) km / 9 km/h

To find the value of x, we can solve the above equation.

Calculation

Let's solve the equation to find the value of x:

4 hours = (x - 28) km / 9 km/h

Multiplying both sides of the equation by 9 km/h:

4 hours * 9 km/h = x - 28 km

Simplifying:

36 km = x - 28 km

Adding 28 km to both sides of the equation:

36 km + 28 km = x

Simplifying:

x = 64 km

Answer

The distance between the two villages is 64 km.

Conclusion

In this problem, we were given the speeds of two carriages and the distance traveled by one of them before meeting the other. By equating the time taken by both carriages, we were able to find the distance between the two villages. The distance was found to be 64 km.