En-superlative of busy
The word 'busiest' is correct and usable in written English. You can use it to describe something, like a day or a time of year, as being active or full of activity. For example: "This summer has been the busiest I've ever experienced.".
Thousands of London-bound commuters have been left stranded on held-up trains for up to four hours after a power supply problem caused chaos at Clapham Junction, the UK's busiest rail station.
On the busiest day of the show, fresh juice and pizza vans were standing idle.
"It's difficult to staff a hospital based on the busiest times of the year, when sometimes we're not as busy.
Sage is one of the busiest humans I know – if she's not teaching free workshops on how to create urban gardens, she's organising a feminist protest or rehearsing with her latest bandmates.
Sophie Allain, of the Campaign for Better Transport, said that they welcomed discount fares and more smart and integrated ticketing but added: "All of this will be overshadowed if operators are allowed to charge premium fares on busiest services".
All Saturday's trains in and out of King's Cross, one of the busiest station's in London, have been cancelled because engineering work on the east coast mainline has overrun.
Saturday is the busiest day at the market but that's also when every single stand is occupied.
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MA of Applied Linguistic, Maquarie University, Australia