Two cyclists are situated 60 miles apart. One has a falcon one his shoulder. The cyclists start riding toward each other at the same time, both maintaining a co

Question

Two cyclists are situated 60 miles apart. One has a falcon one his shoulder. The cyclists start riding toward each other at the same time, both maintaining a constant speed of 30 mph. The moment that they begin, the falcon flies off the first cyclist's shoulder toward the other cyclist. The falcon flies at a constant ground speed of 45 mph. When the falcon meets the other cyclist, he reverses direction and flies back to the first cyclist (who is now considerably closer). The falcon continues this back and forth pattern until the cyclists finally meet. How far did the falcon fly?

Answer 1

the falcon flies until the cyclists meet

the cyclists are 60 miles apart and both are maintaining a constant speed of 30 mph

therefore after 1 hour each cyclist travels 30 miles and then they meet

60=30t+30t

60=60t

t=1 hour if you don't realize this

the falcon flies for 1 hour at a speed of 45 mph

the falcon flied 45 miles