Julia and Heiko are two enthusiastic caching sparrows. Therefore, when a new cache is published nearby, they both leave their nests immediately. The cache hiding place is located exactly on the midpoint of the line joining their two nests. Heiko lives to the east and Julia to the west of the hiding place. In the absence of any wind, both can fly at a speed of 60 km/h . However, on this day, there is a strong wind from the east, blowing with a speed of 44 km/h. This causes Julia's arrival to be one minute later than Heiko, whom, by this time, is already on his way back to his nest which is located at N 52° 30.098 E 13° 22.547. The question is where is the midpoint?
2026-04-21 12:37:45.1776775065
Two sparrows fly to the point halfway between their nests. In a head/tailwind, one arrives a minute later than the other.
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Gerry: sorry for being blunt and presumptious about this being homework... :(
Anyway, let $x$ km be the distance from either nest to the midpoint. Heiko is flying at $60+44 = 104$ km/h and Julia at $60-44 = 16$ km/h. So Heiko got there at time $x/104$ (hr) and Julia got there at time $x/16$ (hr). We are given that Julia is late by one minute, i.e.
$${x \over 104} + {1 \over 60} = {x \over 16}$$
which solves to $x = {52 \over 165}$ km.