Question

Из города А в 8 часов утра вышел грузовик со скоростью 32 км/ ч .а в 11 часов дня вслед за ним выехал автобус со скоростью 56 км/ ч. В какое время и на каком расстоянии от города А автобус догонит грузовик

Answer 1

32х=56(х-3)
32х=56х-168
24х=168
х=7
7*32=224 км
Ответ:встретятся в 15:00 на растоянии 224 км от города А

Answer 2

Problem Analysis

We are given that a truck left city A at 8:00 AM with a speed of 32 km/h, and a bus followed it at 11:00 AM with a speed of 56 km/h. We need to determine at what time and at what distance from city A the bus will catch up to the truck.

Solution

To solve this problem, we can use the formula:

Time = Distance / Speed

Let's assume that the bus catches up to the truck after t hours. During this time, the truck would have traveled a distance of 32t km, and the bus would have traveled a distance of 56(t-3) km (since it started 3 hours later).

Since the bus catches up to the truck, the distances traveled by both vehicles must be equal. Therefore, we can set up the following equation:

32t = 56(t-3)

Now, let's solve this equation to find the value of t.

32t = 56t - 168

24t = 168

t = 7

So, the bus will catch up to the truck after 7 hours.

To find the distance at which the bus catches up to the truck, we can substitute the value of t into either of the distance formulas:

Distance traveled by the truck = 32t = 32 * 7 = 224 km

Therefore, the bus will catch up to the truck after 7 hours at a distance of 224 km from city A.

Answer

The bus will catch up to the truck after 7 hours at a distance of 224 km from city A.