The formula that relates distance, speed, and time is:
distance = speed x time
In this case, we know the distance (50 miles) and the time (25 minutes), and we want to find the speed. Let's first convert the time to hours, since speed is typically measured in miles per hour (mph):
25 minutes = 25/60 hours = 0.417 hours
Now we can write the equation:
50 = s x 0.417
where s is the speed of the cyclist in miles per hour. To solve for s, we can divide both sides of the equation by 0.417:
s = 50 / 0.417
simplifying the equation,
s = 119.85 mph (approximately)
Therefore, the equation that shows the relationship between speed, s, and time, t, when the distance is 50 miles is:
50 = s x t
where s = 119.85 mph and t is the time in hours.