Choose the most appropriate reported construction of the following se…

The correct answer is Option (3) → Kavya told me that her brother had been travelling to Guwahati by train two days before, so he had missed my call.

Changing a past continuous statement into indirect speech:

Change	Direct	Indirect	Why
Reporting verb	said to me	told me	The listener “me” is named. So “said to me” becomes “told me”.
Joining word	“ ” (quotation marks)	that	“That” joins the reported statement.
Tense change	was travelling, missed	had been travelling, had missed	“Was travelling” is in the past continuous. The past continuous is formed with was / were + V-ing. After the past “said” it becomes the past perfect continuous “had been travelling”. The past perfect continuous is formed with had been + V-ing. The simple past “missed” becomes the past perfect “had missed”. The simple past is formed with the past form of the verb (V2). The past perfect is formed with had + past participle (V3).
Pronoun change	My, your	her, my	Kavya is the speaker, so “my brother” becomes “her brother”. She spoke to me, the reporter, so “your call” becomes “my call”.
Time word	two days ago	two days before	“Ago” counts back from the moment of speaking. In a later report “two days ago” becomes “two days before”.
Full sentence	Kavya said to me, “My brother was travelling to Guwahati by train two days ago, so he missed your call.”	Kavya told me that her brother had been travelling to Guwahati by train two days before, so he had missed my call.

Other time words change in the same way: yesterday → the day before, last week → the week before, now → then. Example: Arif said, “I was cooking dinner an hour ago.” → Arif said that he had been cooking dinner an hour before.

Why the Other Options are Incorrect?

Option 1: Kavya told me that her brother had been travelling to Guwahati by train two days ago, so he had missed my call. — Incorrect. The time word “two days ago” is kept. In a later report it becomes “two days before”.

Option 2: Kavya told me that her brother had been travelling to Guwahati by train two days before, so he had missed her call. — Incorrect. Kavya said “your call” to me. So in my report it becomes “my call”, not “her call”.

Option 4: Kavya told me that her brother has been travelling to Guwahati by train two days before, so he had missed my call. — Incorrect. “Has been travelling” is a present form. After the past “said”, “was travelling” becomes “had been travelling”.