If a task is of higher priority to you than another team member how will your team apportion the task?

In this case, i will first explain the importance of the task to the other team members, its time frame and opt for the persons who are most adequate to share the task.

Firstly you would invite your team to look into what tasks are more important for the organisation or company you are working for, how much time do you have to complete each task and what is the main tasks that are needed to be completed immediately. You would then meet to discuss the tasks and put them in a list of tasks with the most important at the beginning and you would do this by voting within the team to which tasks have the most priority and which has the least. You can also assign tasks to different groups of the team so that you can get them completed quicker. 

management is to control and organize. on the other hand leadership skill is to refer to people who are in control of a organization.