The speed of the fox should be 35/t + 40 to catch up to the rabbit.
What is speed?
Speed is the ratio of distance and time.
Speed = Distance / Time
We have,
The distance between the rabbit and fox = 35 feets
The rabbit's speed = 40 feet per second
Let fox's speed = F
Let the time taken to catch up to the rabbit = t
Now,
Rabbit's distance from fox after time t will be:
= 35 + (40 × t)
= 35 + 40t
Fox's distance after time t:
= F × t
Fox and rabbit distance must be the same in order for the fox to catch up with the rabbit.
35+40t = Ft
Dividing both sides by t.
35/t + 40 = F
Therefore the fox's speed must be 35/t + 40 in order to catch up with the rabbit.
Learn more about speed here:
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