Distance does not affect time. At very high speeds - close to the speed of light - speed does make time go slower. This is the Lorentz time-dilation.
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Distance equals rate times time. Assuming the rate remains constant, the longer the distance, the longer the time it takes to travel it.
It isn't clear what situation you have in mind. For example, if you travel at a constant speed, traveling a longer distance will require more time.
Distance and time do not, in general, affect the speed. Speed, however, can affect distance or time. Distance is directly proportional to speed, time is inversely proportional.
Because speed = distance/time
Because distance/time = the speed at which something travels.
if the time is invcreasing the velocity increases too and depends on the distance to reach a high speed.
Time is inversely proportional to speed.