The speed of the fox should be greater than the rabbit's speed in other to catch up, Hence, the speed of the fox must be 35/t + 40
The distance between the rabbit and fox, d = 35 feets
The rabbit's speed = 40 feets per second
Fox's speed = F
In other to obtain a specific speed for the fox, the time at which the fox is required to catch up with the rabbit should be given.
Let the time = t
Recall :
Speed = distance / time
Distance = speed × time
Rabbit's distance from fox after time t will be :
35 + (40 × t) = 35+40t
Fox's distance after time, t = fox speed × t = F × t
In other to catch up ; both fox and rabbit must be at the same distance ;
Rabbit's distance at time t = Fox's distance at time t
35+40t = Ft
To solve for F which is the fox's speed:
Divide both sides by t
(35+40t) / t = Ft/t
35/t + 40 = F
Hence, the fox' s speed must be : 35/t + 40
To obtain the exact speed of the fox, we must be given a specific time value.
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