
Из посёлка одновременно в противоположных направления вышел пешеход и выехал велосипедист. Когда
велосипедист проехал 22км со скоростью 11 км/ч, расстояние между ними стало 30 км. С какой скоростью шёл пешеход?

Ответы на вопрос




Problem Analysis
To solve this problem, we need to determine the speed at which the pedestrian was walking when the cyclist had traveled 22 km at a speed of 11 km/h and the distance between them was 30 km.Solution
Let's calculate the speed at which the pedestrian was walking.Calculation
The time it took for the cyclist to travel 22 km at a speed of 11 km/h can be calculated using the formula: \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]The time it took for the pedestrian to cover the remaining distance can be calculated using the formula: \[ \text{Time} = \frac{\text{Remaining Distance}}{\text{Pedestrian's Speed}} \]
Since the total time for both the cyclist and pedestrian is the same, we can equate the two time expressions and solve for the pedestrian's speed.
Let's calculate the pedestrian's speed using the given information.
Calculation
The time it took for the cyclist to travel 22 km at a speed of 11 km/h: \[ \text{Time} = \frac{22 \text{ km}}{11 \text{ km/h}} = 2 \text{ hours} \]The time it took for the pedestrian to cover the remaining distance: \[ \text{Time} = \frac{30 \text{ km} - 22 \text{ km}}{\text{Pedestrian's Speed}} \]
Equating the two time expressions: \[ 2 = \frac{30 - 22}{\text{Pedestrian's Speed}} \]
Solving for the pedestrian's speed: \[ \text{Pedestrian's Speed} = \frac{30 - 22}{2} = \frac{8}{2} = 4 \text{ km/h} \]
Answer
So, the pedestrian was walking at a speed of 4 km/h.

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