to stay awake until someone arrives
оставаться бодрым до того, как кто-то придет (ostavat'sya bodrym do togo, kak kto-to pridyot)
"Don’t wait up for me, I might be late tonight."
"Не жди меня, я могу опоздать сегодня вечером." (Ne zhdi menya, ya mogu opozdat' segodnya vecherom.)
to start doing something seriously and with focus
to increase efficiency and output of workers or industries
to reach the same level or position as someone ahead
to make someone understand your message clearly
to politely justify your opinion based on personal experienc...
to change to a different option because of a need