Tairova

A father and son are skating in a circle. From time to time, the father overtakes the son. After the son changed the direction of his movement to the opposite, they started meeting 5 times more frequently. How many times faster does the father skate compared to the son?
The frequency of encounters is inversely proportional to the father's speed relative to the son. Therefore, the condition means that the sum $S$ of the father's and son's speeds is 5 times the difference $R$ of these speeds. Dividing twice the father's speed $S+R$ by twice the son's speed $S-R$ gives the ratio of their speeds: $\frac{5+1}{5-1}=1.5$.

## Answer

1.5 times.

## Problem