"I am having trouble completing task X because I have to do task Y on Tuesday and Thursday, and I can only do task X on Tuesday and Friday because of the build schedule."
"I shall ask to change the build schedule so that you can do task X on Monday."
"I have not made much progress with task Z because I spent 20 hours working on Required Stupid Work last week."
"I shall reduce the scope of this work, and tell the person who's monitoring your progress that I have approved the reduction at scope and determined it to not put the code at risk."
"I am having issues asking person M to do task B because I promised them it would only be for a month, but now it's been extended to three due to paternity leave."
"Ask them if they mind extending it, as even though it's boring work, they are more skilled in it and you have the bandwidth to spare them to do it. Make it a real option to say no. They will feel they have control over their choices, and your moral dilemma (of not keeping promises) will be solved."
So screw "how do you cross a six foot moat when you only have a five foot plank," I'm pole vaulting over those damned alligators and hitting the feisty ones on the head every single day, no matter what the "right" answer is supposed to be.
Hmm, on the other hand, I wonder how long that laptop has been sitting under my desk? It will be embarassing if it's been for more than a day.