paid off allowing for evacuation within 90 seconds.

[Maybo]

“It’s too soon to comment on the specifics of the incident, but what’s clear is that the crew performed in an exemplary fashion,” he says.

“The safety training that airlines - in this case JAL - put the crews through on a continuous basis paid off allowing for evacuation within 90 seconds.

Source: Source: How safety rules ‘written in blood’ saved lives in Tokyo plane crash by Julia Buckley

I don't understand the structure of underlined part. Is "by" omitted before allowing?

 

[tedmc]

No, the pay-off is allowing for evacuation within 90 seconds. You can add "in", not "by".

 

[teechar]

Source: Source: How safety rules ‘written in blood’ saved lives in Tokyo plane crash by Julia Buckley

Where was that published?

I don't understand the structure of underlined part. Is "by" omitted before allowing?

No. "by" was not omitted. Don't add "by" or "in". There should have been a comma after "off" to set off the participle clause "allowing ... seconds".
If you want to read more about participle clauses, take a look at the information in the following link:

Participle clauses

Do you know how to use participle clauses to say information in a more economical way? Test what you know with interactive exercises and read the explanation to help you.

learnenglish.britishcouncil.org

 

[Maybo]

Where was that published?

https://edition.cnn.com/2024/01/02/travel/tokyo-plane-crash-safety-rules-analysis-intl/index.html

 

[emsr2d2]

Remember that when we ask for the source, we need the title of the publication, not just the title of the article.

 

[Tarheel]

I would have used a comma there, thus:

the safety training paid off, allowing ....

 

[emsr2d2]

I would have used a comma there, thus:

the safety training paid off, allowing ....

Exactly as teechar said in post #3!

 

[jutfrank]

You don't have to rely on your memory to know what people in the thread have said, @Tarheel.

 

[Tarheel]

I did that time.