Problem Solution Overview Here, we first need to view this problem in a better way. First thing is to understand a simple thing, that is Speed = Distance / Time This is important, because, this gives us a very important information, as slope of the Distance-Time graph is Slope= Distance / Time = Speed Thus, distance means any movement of bob, which is not necessarily in direction of peak But position means the position of bob with respect to the peak, so when bob started to climb and run through the side path we are talking about his position. Defining the time instances and respective distance and position Let, Initial speed be 0, i.e.at time =0 and distance = 0 => speed =0 and position = PO T1- time when car reached speed of 40 mph, position = Pi, Distance = D1 T2- time when he reached halfway and stopped the car and started analysing the terrain, position = P2, distance = D2 T3- time when he finished analysis and started climbing, position = P2, distance = D2 T4- time when bob realized that he is injured. Position = P3 and distance = D3 T5- bob reached back to car to put bandages. Position = P2 and distance = D4 T6- bob applied bandages and got to know about side path. Position = P2 and distance = D4 T7- bob reached the mountain peak by running through side path. Position = P4 and Distance = DS