
Из пункта а в пункт б ,расстояние между которыми 94 км отправились навстречу друг другу пешеход или
велосипедист.скорость пешехода на 16 км/ч меньше скорости велосипедиста. Найти скорость пешехода, если они встретились через 4 часа

Ответы на вопрос







Problem Analysis
We are given that two individuals, a pedestrian and a cyclist, start walking towards each other from points A and B, which are 94 km apart. The pedestrian's speed is 16 km/h slower than the cyclist's speed. We need to find the pedestrian's speed if they meet after 4 hours.Solution
Let's assume the cyclist's speed is x km/h. Since the pedestrian's speed is 16 km/h slower, the pedestrian's speed can be represented as (x - 16) km/h.To find the pedestrian's speed, we can use the formula: distance = speed × time.
The distance covered by the cyclist in 4 hours is 4x km, and the distance covered by the pedestrian in 4 hours is 4(x - 16) km.
Since they are walking towards each other, the sum of the distances covered by both the cyclist and the pedestrian should be equal to the total distance between points A and B, which is 94 km.
Therefore, we can write the equation: 4x + 4(x - 16) = 94.
Now, let's solve this equation to find the value of x.
Calculation
4x + 4(x - 16) = 94Simplifying the equation: 4x + 4x - 64 = 94 8x - 64 = 94 8x = 94 + 64 8x = 158 x = 158 / 8 x = 19.75
Answer
The cyclist's speed is 19.75 km/h.To find the pedestrian's speed, we can substitute the value of x into the expression (x - 16): Pedestrian's speed = 19.75 - 16 = 3.75 km/h.
Therefore, the pedestrian's speed is 3.75 km/h.
Note: The calculated values are rounded to two decimal places.


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