Answer: Stanley's average speed is 28 mph.
Step-by-step explanation:
Let x represent Stanley's average speed.
Daniel's average speed is 11 mph slower than Stanley's. This means that Daniel's average speed is
(x - 11) mph.
Distance = speed × time
At the end of one hour, they are 45 miles apart. Distance covered by Stanley after 1 hour would be
x × 1 = x miles
Distance covered by Daniel after 1 hour would be
1 × (x - 11) = (x - 11) miles.
Since the total distance covered is 45 miles, then
x + x - 11 = 45
2x = 45 + 11
2x = 56
x = 56/2
x = 28 mph