Question

З пункта А в пункт Б вийшов пішохід. через 3 години йому назустріч виїхав велосипедист. відстань між пунктами А і Б дорівнює 44 км відомо що швидкість велосипедиста на 8 км/год більша за швидкість пішохідна. знайти швидкість велосипедист і пішохіда якщо до зустрічі пішохід був у дорозі 5 годин.

Answer 1

Problem Analysis

We have a situation where a pedestrian walks from point A to point B, and after 3 hours, a cyclist starts from point B and meets the pedestrian. The distance between points A and B is 44 km, and we know that the cyclist's speed is 8 km/h faster than the pedestrian's speed. We need to find the speeds of both the cyclist and the pedestrian, given that the pedestrian was on the road for 5 hours before the meeting.

Solution

Let's assume the pedestrian's speed is x km/h. Since the cyclist's speed is 8 km/h faster, the cyclist's speed is x + 8 km/h.

We know that the distance between points A and B is 44 km.

To find the speeds of the cyclist and the pedestrian, we can use the formula: speed = distance / time.

For the pedestrian, the time is 5 hours, and for the cyclist, the time is 3 hours.

Calculation

Let's calculate the speeds of the cyclist and the pedestrian.

For the pedestrian: - Distance = 44 km - Time = 5 hours - Speed = Distance / Time = 44 km / 5 hours = 8.8 km/h

For the cyclist: - Distance = 44 km - Time = 3 hours - Speed = Distance / Time = 44 km / 3 hours ≈ 14.67 km/h

Therefore, the speed of the pedestrian is approximately 8.8 km/h, and the speed of the cyclist is approximately 14.67 km/h.

Conclusion

The speed of the pedestrian is approximately 8.8 km/h, and the speed of the cyclist is approximately 14.67 km/h.