The distance-time (displacement-time) graph on the left is not related to the speed-time (velocity-time) graph. Both are of difference scenarios. But both shows the motion of 2 objects and both graph has an interception point. Do the interceptions point mean the same time in each graph?
The image below shows the basic interpretation of the respective graphs.
To have examples of the graphs with values and the step-by-step how to find the time it overtakes, refer to the videos below.
Finding the exact time where the overtaking takes place.