Question

из города А в 8 часов утра вышел грузовик со скоростью 32км/ч, а в 11 часов выехал автобус со скоростью 56 км/ч. вкакое время и на каком расстоянии от города А автобус догонит грузовик?

Answer 1

За (11-8),т.е. 3 часа грузовик пройдёт 3*32=96км. Выезжает автобус. До встречи пройдёт Х часов после 11 часов утра, за это время Грзвик пройдёт 32*Х км, автобус до встречи пройдёт (96+32*Х) км. 
Это расстояние автобус пройдёт за (96+32*Х)/56 часов. Значит, (96+32*Х)/56=Х, откуда Х=4 (часа) 
Значит, время будет на часах: 11+4= 15 (т.е. 15:00 дня) 
грузовик пройдёт 32*4=128км после 11:00 до встречи, и 96+128=224 км 
Ответ: 
4часа 
224км

Answer 2

Calculation of the Time and Distance when the Bus Overtakes the Truck

To calculate the time and distance when the bus overtakes the truck, we need to determine the time it takes for the bus to catch up to the truck and the distance covered by both vehicles during that time.

Given information: - The truck left city A at 8:00 AM with a speed of 32 km/h. - The bus left city A at 11:00 AM with a speed of 56 km/h.

To find the time it takes for the bus to catch up to the truck, we can set up an equation using the relative speed of the bus and the truck:

Relative speed = Speed of the bus - Speed of the truck

Relative speed = 56 km/h - 32 km/h = 24 km/h

Now, we can calculate the time it takes for the bus to catch up to the truck using the formula:

Time = Distance / Relative speed

Let's denote the time it takes for the bus to catch up to the truck as 't' and the distance covered by both vehicles during that time as 'd'.

Time = Distance / Relative speed

t = d / 24 km/h

To find the distance 'd', we can use the formula:

Distance = Speed * Time

For the truck, the time is 't' and the speed is 32 km/h:

Distance covered by the truck = 32 km/h * t

For the bus, the time is 't' and the speed is 56 km/h:

Distance covered by the bus = 56 km/h * t

Since the bus catches up to the truck, the distance covered by both vehicles is the same:

32 km/h * t = 56 km/h * t

Simplifying the equation, we find:

24 km/h * t = 0

This equation implies that the time it takes for the bus to catch up to the truck is 0 hours. This means that the bus overtakes the truck immediately after it starts moving.

Therefore, the bus overtakes the truck at the same time it starts moving, which is 11:00 AM.

To find the distance at which the bus overtakes the truck, we can substitute the time 't' into either of the distance formulas:

Distance = Speed * Time

Using the distance formula for the bus:

Distance = 56 km/h * t

Substituting the value of 't' as 0 hours, we find:

Distance = 56 km/h * 0 = 0 km

Therefore, the bus overtakes the truck at a distance of 0 km from city A.

In summary: - The bus overtakes the truck immediately after it starts moving, at 11:00 AM. - The bus overtakes the truck at a distance of 0 km from city A.

Please note that the calculations are based on the given information and assumptions.