Final answer:
To rewrite the sentences by inserting prepositions, use 'after', 'into', 'behind', 'in', 'to', 'for', 'in', 'under', 'with', 'since', and 'at'.
Step-by-step explanation:
To rewrite the given sentences by inserting prepositions:
- The dog ran after the kitten.
- As it started raining, I ran into the house.
- The train was running behind schedule.
- The passengers are in danger.
- Pour the tea into the cup.
- We waited for two hours.
- I will meet you in London.
- The workers were buried under the rubble.
- I have studied the plan with great care.
- The carpenter has been working since morning.
- We received the news at 9 p.m.