A cyclist travels a distance of 150 miles, maintaining a constant speed. If the cyclist's speed is given by the equation \( \frac{d}{t} = s \), where \( d \) is the distance, \( t \) is the time in hours, and \( s \) is the speed in miles per hour, find the time \( t \) it takes for the cyclist to complete the trip if the speed \( s \) is 25 miles per hour. Let's think step by step and output the final answer within \boxed{}.
user