1) I've taken a taxi and I'm on my way. 2) I took a taxi and I'm on my way.
I think that the first one might be said in the situation where somebody is speaking on the phone and is informing the other person about that. The second one seems like it's wrong in this context.
B)
1) I'm sorry I'm late, I've been stuck in a traffic jam. 2) I'm sorry I'm late, I got/was stuck in a traffic jam.
C)
1) I've taken a taxi to get here. 2) I took a taxi to get here.
Thanks
Top answer
-- You're in the taxi now. -- You may be in the taxi now, but probably not. -- You may be stuck now.
— Mister Micawber
-- You're in the taxi now.
-- You may be in the taxi now, but probably not.
-- You may be stuck now.
-- You are no longer stuck.
-- You just got out of it.
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