I discovered that it's not as much how fast you go to the bucket as how direct a path you take. It's better to practice first so that you know exactly how you want to move.
You need to click on the lever to stop the buckets--getting them stopped in exactly the right spot is a little tricky. Once they are stopped, wait a minute or two before you click to start them up again. Once you hear the machine start, immediately turn and head for the bucket. Doing it this way got me through and into the bucket...
"Once you give up integrity, the rest is easy." Anonymous