Question

Из точки А в точку Б в 8 часов утра вышел обоз со скоростью 24 км/ч. А в 11 часов утра из точки А в точку Б выехал гонец со скоростью 60 км/ч. Встретились они в точке Б. Какое расстояние от точки А до точки Б ?

Answer 1

Пусть гонец был в пути х часов,тогда обоз х+3 ( т.к. разница 3 часа ,11-8=3)
Тогда расстоение мужду А до Б для первого  (обоза)  -  24 (х+3),а для второго 60х
Т.к они встретились в точке Б,значит они проехали одинаковое расстоение,получаем уравнение :
24(х+3) = 60х
24х + 72 = 60х
36х = 72
х= 2
Подставим значение х в любое віражение для расстояния,получим : 24 (2+3) = 120 или 60 умножить на 2 = 120
Ответ: 120 км

Answer 2

t-время

24(t+3)=60t

24t+72=60t

36t=72

t=2

24*5=120

Ответ:120

Answer 3

Calculation of Distance from Point A to Point B

To calculate the distance from Point A to Point B, we need to consider the speeds and times at which the cart and the messenger traveled.

Given information: - The cart left Point A at 8:00 AM with a speed of 24 km/h. - The messenger left Point A at 11:00 AM with a speed of 60 km/h. - They met at Point B.

To find the distance, we can calculate the distance traveled by the cart and the messenger separately and then add them together.

Distance traveled by the cart: The cart traveled for 3 hours (from 8:00 AM to 11:00 AM) at a speed of 24 km/h. Using the formula `distance = speed × time`, we can calculate the distance traveled by the cart as follows:

Distance traveled by the cart = 24 km/h × 3 hours = 72 km

Distance traveled by the messenger: The messenger traveled for an unknown amount of time from 11:00 AM until they met the cart at Point B. Let's denote this time as 't' hours. The speed of the messenger is given as 60 km/h. Using the formula `distance = speed × time`, we can calculate the distance traveled by the messenger as follows:

Distance traveled by the messenger = 60 km/h × t hours

Since the cart and the messenger met at Point B, the total distance traveled by both of them is equal to the distance from Point A to Point B. Therefore, we can set up the following equation:

Distance traveled by the cart + Distance traveled by the messenger = Distance from Point A to Point B

72 km + 60 km/h × t hours = Distance from Point A to Point B

To find the value of 't' and the distance from Point A to Point B, we need additional information, such as the time at which they met or the value of 't'. Unfortunately, the given information does not provide this information.

Therefore, without additional information, we cannot determine the exact distance from Point A to Point B.

Please provide any additional information if available, and I will be happy to assist you further.