The runner runs the distance between the city and the village in 5 hours, and the pedestrian walks in 10 hours
| September 8, 2021 | education
The runner runs the distance between the city and the village in 5 hours, and the pedestrian walks in 10 hours, after what time they will meet if the pedestrian leaves the city and the runner runs out of the village at the same time.
Let the distance between the city and the village be x.
The runner’s speed in this case is x / 5, and the pedestrian’s speed is x / 10.
The runner and the pedestrian simultaneously set off towards each other, which means that the speed of their approach is equal to:
x / 5 + x / 10 = 2x / 10 + x / 10 = 3x / 10 (km / h) – the speed of convergence of a pedestrian and a runner.
Accordingly, the pedestrian and the runner will meet in 10/3 hours.
Answer: In 10/3 hours the pedestrian will meet the runner.
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