Because this section describes a collection of shorter walks rather than a long-distance trek, there isn't a route as such. However, if you want to spend five days exploring the Mt Cook area you could do a lot worse than follow the following itinerary, which combines mountain trudging and glacier hiking with a gentle introductory day.
|1||Mt Cook Village to Hooker Glacier and back||4 hours|
|2||Mt Cook to Mueller Hut||-|
|3||Mueller Hut to Mt Cook||2.5 hours|
|4||Road End to Ball Shelter||3.5 hours|
|5||Ball Shelter to Road End||3.5 hours|
I didn't make a note of how long it took to climb up to the Mueller Hut, but please note that the descent time included a lot of sliding down snow drifts, and it took us a lot longer to climb up!