Question: In the case of multiple wounds, how would you stop the bleeding quickly?
Answer: Treating a victim of a severe cut is intimidating enough without having to address multiple injuries, but the simple fact is that most things capable of causing severe bleeding also can cause multiple wounds. As overwhelming as multiple wounds may seem, the trick is to keep calm.
Take a look at the victim and find the worst injuries. Stop the worst bleeding first. Concentrate primarily on areas that have bright red or spurting blood, and then move on to less severe bleeding. Don't go through all the steps to control bleeding before moving on -- as soon as the blood has stopped flowing (even if only because you've put your finger in the hole) begin addressing the next wound.
In any case of severe bleeding, you should call 911 as quickly as possible and continue to control bleeding until the ambulance arrives. Tourniquets should be avoided unless the bleeding cannot be stopped using all other procedures.