to reach faster ...do pune to belgaum on the GQ ..u can easily do the 330 odd kms in about 4-5 hrs ...from belgaum you can tak eteh NH4A to panaji via Londa ...its a superb drive but you have to watch out for dumper trucks and also for loose sand on the corners ....
from belgaum to panaji its about 150 kms ...which should take you about 2.5 to 3 hours ...so the total time through this route should take about 8-10 hours max ..
Drive safe