Question

№3 Первый спортсмен преодолел дистанцию за 5 часов, а второй (скорость которого была на 2км/ч больше, чем у первого спортсмена) эту же дистанцию за три часа. Какова скорость каждого спортсмена?

Answer 1

Решение и ответ на фото.

Answer 2

Problem Analysis

We are given two athletes who have completed the same distance. The first athlete took 5 hours to complete the distance, while the second athlete, whose speed was 2 km/h faster than the first athlete, completed the same distance in 3 hours. We need to find the speed of each athlete.

Solution

Let's assume the speed of the first athlete is x km/h. Therefore, the speed of the second athlete will be x + 2 km/h.

We can use the formula: speed = distance / time to find the distance covered by each athlete.

For the first athlete: - Speed = x km/h - Time = 5 hours - Distance = Speed * Time = 5x km

For the second athlete: - Speed = x + 2 km/h - Time = 3 hours - Distance = Speed * Time = 3(x + 2) km

Since both athletes covered the same distance, we can equate the distances:

5x = 3(x + 2)

Now, let's solve this equation to find the value of x.

5x = 3x + 6

2x = 6

x = 3

Therefore, the speed of the first athlete is 3 km/h and the speed of the second athlete is 5 km/h.

Answer

The speed of the first athlete is 3 km/h and the speed of the second athlete is 5 km/h.