Questioned a question: what story is this about
Answer:
what do they eat in the morning
The answer is: Impersonating and remaining silent.
In the passage, the narrator describes Tom Stoppard's play "Rosencrantz and Guildenstern Are Dead." Both originally Shakespearean characters from "Hamlet," Stoppard develops them further in their own play, in which they "pass the time by impersonating other characters" and "remaining silent for long periods of time."
The type of verbal is participle and the verbal phrase is “playing the piano”