From two points a pedestrian and a cyclist set off towards each other at the same time. At the time of the meeting

From two points a pedestrian and a cyclist set off towards each other at the same time. At the time of the meeting, the distances covered by them were treated as 1: 4. Calculate the distance between points if it is known that the cyclist traveled 23.7 km more than the pedestrian before the meeting.

x (km) – the path traveled by the pedestrian before the meeting
х + 21.3 (km) – the path traveled by the cyclist before the meeting
4x = x + 21.3
4x-x = 21.3
3x = 21.3
x = 7.1 (km) – a pedestrian passed before the meeting
1) 7.1 + 21.3 = 28.4 (km) – the cyclist passed before the meeting
2) 28.4 + 7.1 = 35.5 (km)
Answer: the distance between points is 35.5 km



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.