Math New Drill (level 2) : Number of cases SNJ00-0807-L2 Two types of road to move forward

There is a road shown in the figure below. 

I can move forward on the road expressed by the solid line at a speed of 2 times more than the road expressed by the dotted line. 

How many ways of method to go from A to B in fastest time are there?









Answer
15 ways

Solution
The method to be able to reach in the shortest time is the way that I move just twice on the road of the dotted line. 

Thus, the road of the X cannot be passed in the lower figure. 


Therefore, there are 15 ways in total when it is counted as shown in the lower figure.