Here are the corrections for each sentence:

10. Correct "mine" to "me":
"My father will teach **me** how to swim when I grow up."

11. Correct "telling" to "to tell":
"Do you have a minute? I'd like **to tell** you about something."

12. Correct "until" to "until" (spelling correction) and "what happened" to "what happened":
"She won’t enjoy the trip **until** you tell her **what happened** last week."

13. Correct "be travelled" to "be traveling":
"Will we **be traveling** in driverless and high-speed cars in the future?"

14. Correct "will rain" to "rain":
"It probably **will rain** when you get back tonight."

15. Correct "will ready" to "will be ready":
"Your shoes **will be ready** in twenty minutes."

Now the sentences are grammatically correct.