There are some significant distinctions between distance time and speed-time graphs. 

While the former indicates the overall distance travelled, the latter correctly depicts acceleration. 

Aside from that, there are a few minor differences. 

A velocity-time graph is also known as a speed-time graph. 

These two graphs are equally significant in determining the flow and type of the movement through simple depiction. 

However, time is plotted on a horizontal axis, while distance and speed are plotted on a vertical axis in both graphs.