Question

два пешехода вышли на встречу друг другу из двух населённых пунктов, расстояние между которыми 44.8км, через сколько часов они встретятся, если скорость одного 5.2км/ч, а скорость другого на 0.8км/ч больше?

Answer 1

Problem Analysis

We have two pedestrians walking towards each other from two different towns. The distance between the towns is 44.8 km. We need to determine how long it will take for them to meet if one pedestrian is walking at a speed of 5.2 km/h and the other pedestrian is walking at a speed 0.8 km/h faster.

Solution

To solve this problem, we can use the formula: time = distance / speed.

Let's assume that the first pedestrian is walking at a speed of x km/h. The second pedestrian is walking at a speed of x + 0.8 km/h.

The time it takes for the first pedestrian to cover the distance between the towns is given by: time1 = distance / speed1.

Similarly, the time it takes for the second pedestrian to cover the distance between the towns is given by: time2 = distance / speed2.

Since they are walking towards each other, the total time it takes for them to meet is the sum of their individual times: total_time = time1 + time2.

Let's substitute the given values into the formula and calculate the total time.

Calculation

Given: - Distance between the towns: 44.8 km - Speed of the first pedestrian: 5.2 km/h - Speed of the second pedestrian: 0.8 km/h faster than the first pedestrian

Using the formula time = distance / speed, we can calculate the time it takes for each pedestrian to cover the distance:

- Time for the first pedestrian: time1 = 44.8 km / 5.2 km/h - Time for the second pedestrian: time2 = 44.8 km / (5.2 km/h + 0.8 km/h)

Now, let's calculate the total time it takes for them to meet:

- Total time: total_time = time1 + time2

Calculation Results

Using the given values and the formulas, we can calculate the total time it takes for the pedestrians to meet:

- Time for the first pedestrian: time1 = 44.8 km / 5.2 km/h = 8.615 hours - Time for the second pedestrian: time2 = 44.8 km / (5.2 km/h + 0.8 km/h) = 7.273 hours - Total time: total_time = time1 + time2 = 8.615 hours + 7.273 hours = 15.888 hours

Answer

The two pedestrians will meet in approximately 15.888 hours.

Please note that the above calculations assume constant speeds and a straight path between the towns.