I moved to Bangalore 10 months back. Bangalore is a big city with number of roads tagged as one-way. You take a wrong turn and you are late by more than 20 minutes.Every single day I compare the time taken on different routes and choose the best among all possible combinations. This article takes you through an interesting road puzzle which took me considerable time to crack. There are two alternate roads I take to hit the main road from my home. Average speed on each of the road comes out around 30 km/hr. Let's call the two roads as road A and road B. Total distance one needs to travel on road A and road B is 1 km and 1.3 km respectively to hit the same point on the main road. Note that, before the two roads split, I see a signal (say Z) which is common to both the roads and hence does not come in this calculation.

1. What are the possible factors, I should consider coming up with the total time taken on each road?
2. Which road should one take to reach the main road so as to minimize the time taken? And what is the difference in total time taken by the two alternate routes?