
eilen
to hurry
To move or travel quickly because one is in a hurry; to rush or hasten.
Ich muss jetzt nach Hause eilen, weil ich noch einen Termin habe.
I have to hurry home now because I still have an appointment.
to hurry
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to hurry
To move or travel quickly because one is in a hurry; to rush or hasten.
Ich muss jetzt nach Hause eilen, weil ich noch einen Termin habe.
I have to hurry home now because I still have an appointment.

to be urgent
To be urgent or a priority. Often used in the impersonal form 'es eilt' (it's urgent) to express that something must be done immediately.
Können Sie das Paket bitte per Express schicken? Es eilt sehr.
Could you please send the package by express mail? It's very urgent.
The verb 'eilen' (to hurry) belongs to the word family around 'die Eile' (haste), which means 'great haste' or 'urgency'. So someone who 'eilt' (hurries) is 'in Eile' (in a hurry).
In großer Eile rannte er zum Bahnhof.
In a great hurry, he ran to the train station.
If a person or vehicle is the subject, 'eilen' (to hurry) means to move quickly. If 'es' is the subject, it usually means that something is urgent.
Die Sanitäter eilten zum Unfallort.
The paramedics hurried to the scene of the accident.
When 'eilen' (to hurry) describes movement toward a destination, the perfect tense is formed with the auxiliary verb 'sein'. Without a clear destination, 'haben' is also possible, but less common.
Er ist nach der Arbeit direkt nach Hause geeilt.
After work, he hurried straight home.
The impersonal form 'es eilt' (it's urgent) is a very common fixed expression. It is used to express that a situation is urgent and requires quick action.
Schick mir die Dokumente so schnell wie möglich, es eilt wirklich sehr.
Send me the documents as quickly as possible; it's really very urgent.
to run
Rennen and eilen can both refer to moving quickly because of time pressure. Rennen sounds more colloquial and often suggests hurried, concrete movement, while eilen emphasizes urgency more neutrally. Use rennen for actually running quickly and eilen for movement that is generally urgent.

Ich muss zum Bahnhof eilen, weil mein Zug gleich abfährt.
I have to hurry to the station because my train is about to leave.
Ich muss zum Bahnhof rennen, weil mein Zug gleich abfährt.
I have to run to the station because my train is about to leave.