Calculating time taken when given an acceleration rate to consider

Hi,

I have a problem where I need to calculate how long it will take to get to a certain fix when given these factors:

Original speed

Acceleration rate per second

Target speed

Distance

For example if I need to get somewhere which is 100 miles away and my current speed is 50mph and target speed is 100mph and the acceleration speed is 10m per second...

Does anybody have an idea of a solution to solve this problem in a neat formula.. If not neat then solve it full stop.

Thanks in advance