Question

Из пунктов А и Б, расстояние между которыми равно 100 км одновременно в одном направлении выехали грузовик и гужевая повозка.На сколько километров сократится расстояние между ними через 1ч? через 2?.Через сколько часов грузовик сможет догнать гужевую повозку?

Answer 1

Через 5 часов......................

Answer 2

Problem Analysis

We have a truck and a horse-drawn carriage that start from points A and B, respectively, with a distance of 100 km between them. We need to determine how much the distance between them will be reduced after 1 hour, 2 hours, and how long it will take for the truck to catch up with the carriage.

Solution

To solve this problem, we need to consider the relative speeds of the truck and the carriage.

Let's assume that the truck's speed is x km/h and the carriage's speed is y km/h.

After 1 hour, the truck will have traveled x km and the carriage will have traveled y km. The distance between them will be reduced by the difference between their distances traveled, which is x - y km.

After 2 hours, the truck will have traveled 2x km and the carriage will have traveled 2y km. The distance between them will be reduced by the difference between their distances traveled, which is 2x - 2y km.

To determine how long it will take for the truck to catch up with the carriage, we need to find the time at which their distances traveled are equal. This can be calculated by setting x * t = y * t + 100, where t is the time in hours. Solving this equation will give us the time it takes for the truck to catch up with the carriage.

Let's calculate the answers using the given information.

Calculation

From the given information, we don't have specific values for the speeds of the truck and the carriage. Therefore, we cannot provide an exact answer. However, we can provide a general formula for the calculations.

After 1 hour, the distance between the truck and the carriage will be reduced by x - y km.

After 2 hours, the distance between the truck and the carriage will be reduced by 2x - 2y km.

To determine the time it takes for the truck to catch up with the carriage, we need to solve the equation x * t = y * t + 100 for t.

Please provide the specific speeds of the truck and the carriage, and we can calculate the answers for you.

Conclusion

In order to provide a specific answer, we need the speeds of the truck and the carriage. Once we have that information, we can calculate how much the distance between them will be reduced after 1 hour and 2 hours, as well as the time it will take for the truck to catch up with the carriage.