Question

Грузовик проехал расстояние в 18 км за 20 мин.вслед за ним после этого выехал автомабиль,на каком расстоянии и за какое время автомобиль догонит грузовикесли его скорость на четверть больше грузавика

Answer 1

Найдем равномерную скорость грузовика V=S/t   V=18000/1200=15 м/с
 скорость автомобиля V2=4V=60 м/с
Составим уравнения движения обоих тел.
X1=18000+15t
X2=60t        машины встретятся когда их координаты равны и время одинаково   Х1=Х2
18000+15t=60t   18000=45t     t=400 c=6.7 мин

Answer 2

Given Information:

- The truck traveled a distance of 18 km in 20 minutes. - The car started after the truck and has a speed that is a quarter faster than the truck's speed.

Calculating the Car's Speed:

To determine the car's speed, we need to find the truck's speed first. We can use the given information that the truck traveled 18 km in 20 minutes.

The formula to calculate speed is: Speed = Distance / Time

Using this formula, we can calculate the truck's speed: Truck's Speed = 18 km / 20 min

Now, since the car's speed is a quarter faster than the truck's speed, we can calculate the car's speed as follows: Car's Speed = Truck's Speed + (Truck's Speed * 0.25)

Let's calculate the truck's speed and the car's speed:

Truck's Speed = 18 km / 20 min = 0.9 km/min

Car's Speed = 0.9 km/min + (0.9 km/min * 0.25) = 1.125 km/min

Calculating the Distance and Time for the Car to Catch Up:

To calculate the distance and time for the car to catch up with the truck, we need to consider that the car started after the truck.

Let's assume that the car catches up with the truck after time 't' minutes.

During this time, the truck would have traveled a distance of 18 km, and the car would have traveled a distance of 'd' km.

Using the formula for distance: Distance = Speed * Time

For the truck: 18 km = 0.9 km/min * t min

For the car: d km = 1.125 km/min * t min

Since the car catches up with the truck, the distances traveled by both should be equal: 18 km = d km

Now, we can solve the equation to find the time 't' and the distance 'd':

0.9 km/min * t min = 1.125 km/min * t min

0.9t = 1.125t

0.225t = 0

t = 0

Since the time 't' is zero, it means that the car catches up with the truck immediately after it starts. Therefore, the car catches up with the truck at the same distance as the truck's starting point, which is 18 km.

To summarize: - The car catches up with the truck at a distance of 18 km. - The car catches up with the truck immediately after it starts.

Please let me know if there's anything else I can help you with!