25. The train from Moscow to Petushki travels the initial segment - from Kursk station to Drezna - three times longer than from Leonovo to Petushki. At the same time, from Drezna to Petushki, it travels twice as fast as from Kursk station to Leonovo. How many times greater is the travel time from Kursk station to Petushki compared to the travel time from Drezna to Leonovo?
$\square$ Answer: five times.

Let the travel time from Moscow to Petushki be 1 (one Metaphysical Unit of Time). Then, if the time from Moscow to Drezna is $x$ MEB, and from Leonovo to Petushki is $-y$ MEB, we have $x=3 y, 1-y=2(1-x)=2(1-3 y)$, hence $5 y=1, y=1 / 5, x=3 / 5, 1-x-y=1 / 5-$ the time from Drezna to Leonovo (in particular, we see that Drezna is encountered earlier than Leonovo on the way from Moscow to Petushki.)

(South Africa 2014)