There are many ways to do it, most simply is probably(depending on you use of classes etc). This is the simplest, but no where near the best, or infact very good at all. This way means changing your "marker" to the bottom left of the rectangle.
void collisions()
{
//check if the x-coord is between the furthest left and furthest right x coords
if(rect.Getx() > someObject.Getx() && rect.Getx() < someObject.Getx() + someObject.GetWidth())
{
rect.SetMoveSpeed(0);
}
if(rect.Gety() > someObject.Gety() && rect.Gety() < someObject.Gety() + someObject.GetHeight())
{
rect.setMoveSpeed(0);
}
}
You would then have to set the move speed to normal when it is not colliding. That could be done with an else after each if, setting the move speed again. This is a quick fix and is not recommended for use in a game you plan to distribute anywhere.