Question

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

Answer 1

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 follows it at 11:00 AM with a speed of 56 km/h. We need to determine the time and distance at which the bus catches up to the truck.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed between the bus and the truck is the difference between their speeds. In this case, the relative speed is 56 km/h - 32 km/h = 24 km/h.

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 32 km/h * t, and the bus would have traveled a distance of 56 km/h * t.

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:

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

Simplifying the equation, we can cancel out the t term:

32 km/h = 56 km/h

This equation is not true, which means that the bus will never catch up to the truck. Therefore, the bus will not overtake the truck.

Conclusion

Based on the given speeds of the truck and the bus, the bus will not catch up to the truck. Therefore, there is no specific time or distance at which the bus will overtake the truck.

Please let me know if you need any further clarification.