Question

Шоссе проходит через пункты А и B , расстояние между которыми равно 65 км. Мотоцыкл едет со скоростью x км / ч , а грузовик со скоростью у км / ч. ехавший из пункта А а) догонит , б) встретит грузовик , одновременно с ним выехавший из В.

Answer 1

наверное б). думаю так

Answer 2

Problem Analysis

We are given that there are two points, A and B, on a highway, and the distance between them is 65 km. A motorcycle is traveling at a speed of x km/h, and a truck is traveling at a speed of u km/h. We need to determine if the motorcycle will overtake the truck or if they will meet each other simultaneously.

Solution

To solve this problem, we need to compare the distances traveled by the motorcycle and the truck.

Let's assume that the motorcycle starts from point A and the truck starts from point B.

1. Distance traveled by the motorcycle (d1) = speed of the motorcycle (x km/h) * time taken (t) to meet the truck. 2. Distance traveled by the truck (d2) = speed of the truck (u km/h) * time taken (t) to meet the motorcycle.

Since the distance between points A and B is 65 km, we can write the following equation:

d1 + d2 = 65 km

We also know that the time taken by both the motorcycle and the truck to meet each other is the same. Therefore, we can write the following equation:

t = distance / speed

Substituting the values, we get:

t = d1 / x = d2 / u

Simplifying the equation, we get:

d1 / x = d2 / u d1 * u = d2 * x

Now, let's consider the two scenarios:

a) If the motorcycle overtakes the truck, the distance traveled by the motorcycle (d1) will be greater than the distance traveled by the truck (d2). Therefore, we can write the following inequality:

d1 > d2

Substituting the equation d1 * u = d2 * x, we get:

d1 * u > d2 * x

b) If the truck meets the motorcycle simultaneously, the distance traveled by the motorcycle (d1) will be equal to the distance traveled by the truck (d2). Therefore, we can write the following equation:

d1 = d2

Substituting the equation d1 * u = d2 * x, we get:

d1 * u = d1 * x u = x

Conclusion

To summarize, if the speed of the motorcycle (x) is greater than the speed of the truck (u), the motorcycle will overtake the truck. If the speeds are equal, the truck will meet the motorcycle simultaneously.