My friends and I took went on a bike trip from Gurgaon to Nainital. We completed the entire trip in 4 days. This included the travel from and to Gurgaon. The road trip is a great idea, however at this time of the year it could get very cold. We started on 29th Dec and the temperatures can get as cold as 6-7 degrees, if not lower. And it feels even colder when you're travelling on a bike. So I suggest that you layer up properly ! Also 7 days depends on what places you are planning to cover. Mussorie and places close by don't take 7 days to cover. Hope this helps. Happy travelling ! :)
Get a bullet visit masoori visit jorge everest, gunhill, dalai hills, then go to dhanulti and surkunda devi temple. cover it in 2,3 days spent time with mountains and then move to Chakrata or Rishikesh 7 days are great its enough to full fill your traveling desire cos its not about just to scale the roads by bike you can stay and feel the places there.