Question

З міста B у місто C виїхав вантажний автомобіль зі швидкістю 60км/год.Через годину з міста А,яке знаходиться на 20км далі від міста C,ніж місто B,виїхав легковий автомобіль зі швидкістю 80км/год . У місто C автомобілі прибули одночасно.Яка відстань між містами A і C? СРОЧНО

Answer 1

T- время в пути грузовика,  х- расстояние между В и С.
60t = х.  - уравнение для  грузовика.
80*(t-1) = х+20   -уравнение для легковой.
80t -80 = х+20.
х= 80t -100.
60t = 80t-100.
20t =100.
t=5 часов - время грузовика.
60*5=300 км - расстояние В С.
300+20 =320 км --расстояние А С.

Answer 2

Calculating the Distance Between Cities A and C

To calculate the distance between cities A and C, we can use the information provided about the speeds and times of the two vehicles traveling from cities B and A to city C.

Given: - Speed of the freight car from city B to city C: 60 km/h - Speed of the passenger car from city A to city C: 80 km/h - Time taken by both cars to reach city C: 1 hour

Calculating the Distance Traveled by Each Vehicle

First, let's calculate the distance traveled by the freight car from city B to city C: - Speed of the freight car: 60 km/h - Time taken by the freight car: 1 hour - Distance traveled by the freight car: 60 km (Speed * Time)

Next, let's calculate the distance traveled by the passenger car from city A to city C: - Speed of the passenger car: 80 km/h - Time taken by the passenger car: 1 hour - Distance traveled by the passenger car: 80 km (Speed * Time)

Finding the Distance Between Cities A and C

Now, we know that city A is 20 km further from city C than city B. Therefore, the distance between cities A and C can be calculated as follows: - Distance between cities A and C = Distance traveled by the passenger car + 20 km - Distance between cities A and C = 80 km + 20 km - Distance between cities A and C = 100 km

So, the distance between cities A and C is 100 km.

This calculation is based on the given speeds, times, and the 20 km difference between cities A and B in relation to city C.