The fox’s speed needs to exceed that of the rabbit to successfully catch up. Thus, the required speed for the fox is expressed as 35/t + 40.
The distance separating the rabbit from the fox is 35 feet.
The speed of the rabbit is 40 feet per second.
Fox's speed = F
To calculate a precise speed for the fox, a specific time for the pursuit must be provided.
Let’s denote the time as t.
Recall that:
Speed = distance / time
Distance = speed × time
The distance the rabbit moves away from the fox after time t will be:
35 + (40 × t) = 35 + 40t
The distance traveled by the fox after time t is: fox speed × t = F × t.
To catch the rabbit, both the fox and rabbit must cover the same distance:
Rabbit's distance at time t equals Fox's distance at that time.
35 + 40t = Ft
To determine F, the fox's speed:
Dividing both sides by t yields:
(35 + 40t) / t = Ft/t
35/t + 40 = F
<pThus, the speed of the fox should be:
35/t + 40To find out the exact speed of the fox, a specific time value must be provided.
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