To find the speed of the falcon in miles per hour, we need to convert its speed from yards per hour to miles per hour. Since a mile is equal to 1760 yards, we can use the conversion factor 1 mile = 1760 yards to convert the falcon's speed from yards per hour to miles per hour.
We can set up the following equation to represent the conversion:
(107,360 yards/hour) / (1760 yards/mile) = X miles/hour
where X is the speed of the falcon in miles per hour.
We can then solve the equation by multiplying both sides by the reciprocal of the conversion factor:
(107,360 yards/hour) / (1760 yards/mile) * (1 mile/1760 yards) = X miles/hour * (1 mile/1760 yards)
Simplifying the right-hand side gives us:
(107,360 yards/hour) * (1 mile/1760 yards) = X miles/hour
Substituting the values and canceling common factors gives us:
(107,360 / 1760) miles/hour = 61.4 miles/hour
Therefore, the falcon is flying at a speed of 61.4 miles per hour.