question from 2.4 Catching a Ride

i didn't quite understand this part of the sentence お　やすみ　で　きて　いる　の　です　か 
what is "iru no desk ka" really mean in this sentence? does it has something relate to " ~tai no desu ga?"

can i also ask お　やすみ　で　きてimashita ka? instead?

Hi gunn-t,

You use "(verb)-teiru" to talk about one's present situation. That's why in this sentence, kiteirunodesuka ((kuru・come)-teiru) means "are you here/have you come here on vacation?". And "nodesuka" ending makes it into a question. You can't say "kite imashitaka" because this would mean "were you here on vacation?", talking about the past, as imashita is the past tense of iru. 
 

Thank you!