Well, the tyres aren't to be blamed entirely, since the rims themselves play a very important part. The Corolla has a huge body on 13" rims as opposed to a much lighter body of the City also on 13" rims. Technically the Corolla has better brakes(Ventiallted Front/Rear), but the stock tyres and rims don't make use of them. Get rid of your stock tyres and pop in some decent 14-15" rims. Yes fuel consumption will slightly go up, but your braking will greatly improve.