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

| December 3, 2020 | education

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. Determine the distance between the points if it is known that before the meeting the cyclist traveled 23.4 km more than the pedestrian.

Given
pedestrian: cyclist = 1: 4
cyclist-pedestrian = 23.4 km
find all the distance-?

Decision
let the proportionality coefficient be equal to X, then
a pedestrian traveled X distances, and a cyclist 4X distances,
and the whole distance is equal to X + 4X
we get that 4X-X = 23.4
we decide
4X-X = 23.4
3X = 23.4
X = 23.4 / 3
X = 7.8 (km passed by a pedestrian)
4X = 7.8 * 4 = 31.2 (km traveled by a cyclist)
Total distance 7.8 + 31.4 = 39.2
Answer: 39.2 km



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