Question

решите задачу 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 котором часу и на каком расстоянии от города А автобус догонит грузовик. ЗАРАНИЕ СПАСИБО!

Answer 1

1). 56-32=24(км/ч )  скорость сближения
2). 11-8=3(часа) на это время позже выехал автобус
3). 32 * 3=96 (км) проехал грузовик до того как выехал  автобус
4). 96 : 24=4(часа )за это время автобус догнал грузовик
5). 11+4=15(ч.) в это время автобус догнал грузовик-место встречи
6). 56*4=224(км)на таком расстоянии от города догнал грузовик.
Ответ: в грузовик догнал автобуса в 15 ч. , и на расстоянии 224 км .

Answer 2

Problem Analysis

We are given that a truck leaves city A at 8:00 AM with a speed of 32 km/h, and a bus leaves city A 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 and at a distance d from city A.

For the truck: Time taken by the truck = t hours Distance covered by the truck = 32t km

For the bus: Time taken by the bus = t - 3 hours (since the bus leaves 3 hours after the truck) Distance covered by the bus = 56(t - 3) km

Since the bus catches up to the truck, the distances covered 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

Therefore, 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 equations:

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

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

To find the time at which the bus catches up to the truck, we can add the time taken by the truck to the time it takes for the bus to catch up:

Time taken by the truck = 7 hours Time taken by the bus = 7 - 3 = 4 hours

Therefore, the bus will catch up to the truck at 11:00 AM + 4 hours = 3:00 PM.

Answer

The bus will catch up to the truck at 3:00 PM and at a distance of 224 km from city A.